solve the following quadratic equation
2×2-x=21

Answers

Answer 1

[tex]2x^2-x=21\\\\\implies 2x^2 -x -21 =0\\\\\text{Apply quadratic formula},~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\\text{In this case,}~ a =2 , b =-1, c =-21}\\\\\implies x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4\cdot 2 \cdot (-21)}}{2(2)}\\\\\implies x =\dfrac{1 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{ 1 \pm 13}4\\\\\\\text{Hence,}\\\\x =\dfrac{1+13}4 = \dfrac{14}4 = \dfrac 72\\\\\text{or}\\\\x =\dfrac{1-13}4 = -\dfrac{12}4 =-3[/tex]

Answer 2

Answer:

x1=7/4, x2=-3

Step-by-step explanation:

[tex]2x^{2} - x - 21 = 0\\x1,2 = (1±\sqrt{-168-1})/4\\x1,2 = (1±13)/4\\x1 = 14/4 -> x1 = 7/2\\x2 = -12/4 -> x2 = -3[/tex]

Related Questions

Help please!! Ill give 100 points!

Answers

Answer:

Step-by-step explanation:

10/5 + 4(72 - 6)

10/5 + 288 - 24 Distribute the 4 to 72 and 6

2 + 288 - 24 Divide

2 + 264 Combine the like terms

262

Eva spent $11.61 downloading songs, and each song cost $1.29. Four students wrote and solved equations to find s, the number of songs that she downloaded. Which student wrote and solved the equation correctly?
Seba’s work:
1 dollar and 29 cents = 11 dollars and 61 cents. S = 10.
Ari’s work:
1 dollar and 29 cents = 11 dollars and 61 cents. S = 9.
Erick’s work:
StartFraction s Over 1 dollar and 29 cents EndFraction = 11 dollars and 61 cents. S = 14.98.
Daniel’s work:
StartFraction s Over 1 dollar and 29 cents EndFraction = 11 dollars and 61 cents. S = 9.

Answers

Answer:

1.29s = 11.61

s = 9

Step-by-step explanation:

1.29s = 11.61

s = 11.61/1.29

s = 9

Answer:

The correct answer is Ari's work

Step-by-step explanation:

right on edge

Welcome!^^

need help asap :( i don’t understand it, it’s confusing lol

Answers

Answer:

At the end of the 4th round

x=4

Step-by-step explanation:

Put in a value for x for both equations

3(4) + 50 = 62

4(2)^4 = 64

62<64

So in round 4, Zavion will have more points

you use a garden hose to fill a wading pool if the water level rise 12 centimeters every 5 minutes and you record the data point of (15,y) what is the value of y

Answers

15/3= 5
so 5 x 12 = 60

Answer as a each as an algebraic expression.

Answers

Answer:

is saying the half of q is 9 so you have to find out the value of q and when you find out the value for example x=18 the half of 18 is 9 I don't know if you undertand my explication

Step-by-step explanation:

18 the half of 18 is 9 because 9+9=18

Ok here’s another question

Answers

Answer:

20 necklaces

Step-by-step explanation:

If Elizebeth is starting off w/10 necklaces we can find on the graph that $10 buys an additional 10 necklaces. Now knowing that information we can add 10 necklaces to our original necklaces and get 20 necklaces. We can also find that our unit rate of change is 10 dollars : 10 necklaces or 1 dollar : 1 necklace. Knowing this can help us solve future problems like how many necklaces can Elizebeth get for x dollars.

please help asap!!!!

Answers

Answer:

Question 2: 2/3

Question 1: 1/3

Question 3: 20

Step-by-step explanation:

Question 2: 8/4 = 2 & 12/4 = 3.

Question 1: 6/6 = 1 & 18/6 = 3.

Question 3: 10/10 = 1 & 20/10 = 2.

Help bell math math math

Answers

Answer:

Step-by-step explanation:

C=πd

π=3

d=18

C=3×18

Therefore C=54

Answer:

c=54

Step-by-step explanation:

Solve for x in the equation X2 - 12%+ 36 = 90.
X
X = 6+3/10
Ox=6+2/7
<
= 12+ 3922
X= 12+3/10
X=

Answers

Answer:

x = 6 ± 3√

Step-by-step explanation:

Step-by-step explanation:Since this is an unfactorable expression, apply the Quadratic Formula, -b ± √b² - 4ac\2a,

The solutions to the equation are:

x = 6 + 3 √(10) or x = 6 - 3 √(10)

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

x² - 12x + 36 = 90

Subtracting 90 from both sides.

x² - 12x - 54 = 0

To solve for x, we can use the quadratic formula.

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation

ax² + bx + c = 0.

In this case, a = 1, b = -12, and c = -54.

Substituting these values into the formula.

x = (-(-12) ± √((-12)² - 4(1)(-54))) / 2(1)

x = (12 ± √(144 + 216)) / 2

x = (12 ± √(360)) / 2

x = 6 ± 3 √(10)

Therefore,

The solutions to the equation are:

x = 6 + 3 √(10) or x = 6 - 3 √(10)

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ7

I need these answers for a worksheet I have and I would appreciate it if someone would help me out.
Question 1. You can combine like terms to ________ an expression.

Question 2. All ______ are like terms and can be combined.

Question 3. Terms with the same _____ are considered like terms.
Answer choices:
Constants

variables

simplify

Answers

you can combine like terms to SIMPLIFY an expression.

All CONSTANTS are like terms and can be combined.

Terms with the same VARIABLE are considered like terms

Someone please help me!!

Answers

Answer:

answer attached: x = 5√2

Step-by-step explanation:

Answer:

Step-by-step explanation:

All of the right triangles are similar. This means ...

long side / short side = x/2 = 25/x

Multiplying by 2x gives ...

x² = 25·2

x = (√25)(√2)

x = 5√2

_____

Additional comment

The "geometric mean" of 'a' and 'b' is √(ab). With this in mind, you can see that x is the geometric mean of the lengths 2 and 25. This is always true for this right-triangle geometry.

There are two other geometric mean relations in this geometry, having to do with the other possible ratios of sides. In effect, the length of a segment that touches the hypotenuse (longest side) of the triangle is the geometric mean of the two segments of the hypotenuse it touches.

Left side = √(2·27) = 3√6

Bottom side = √(25·27) = 15√3

please help me!

ty ty :)

Answers

Answer:

y-2 = -11 (x-5)

Step-by-step explanation:

2 is the y value of the point, 5 is the x value and -11 is the m value.

Slope point form: y-y1 = m(x-x1)

Hope that helps

Plz help me thx
Simplify:

Answers

Answer:

Step-by-step explanation:

note that [tex]\sqrt{x^2}[/tex] = x , then

[tex]\sqrt{(2-\sqrt{5})^2 }[/tex] + [tex]\sqrt{(2+\sqrt{5})^2 }[/tex]

= 2 - [tex]\sqrt{5}[/tex] + 2 + [tex]\sqrt{5}[/tex] ← collect like terms

= 4

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

Step-by-step explanation:

You just remove 3 zeros from 10.

10 —> 1 —> 0.1 —> 0.01 :)

Divide the number of cells in view with the diameter
of the field of view to figure the estimated length of the
cell. If the number of cells is 50 and the diameter you are
observing is 5 millimeters in length, then one cell is 0.1
millimeter long. Measured in microns, the cell would be
1,000 microns in length.

f(x) = 3x + 4 + 2 g(x) = 4 Find (f + g)(x). A. (f +g)(x) = 3x +4 +6 B. (f +g)(x) = 3x + 10 c. (f +g)(x) = 3x + 6 + 4 O D. (f +g)(x) = 3x + 10

Answers

Answer:

(f+g) (x)= -5x-4= (-3x-2)

or, -5x + 3x= -4+2

or, -2x= -2

or,x= 2/2

:. x= 1

Step-by-step explanation:

Whats the answer to these questions?

Answers

Answer:

Answer is in the attached file.

I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY

Answers

Answer:

See image

Step-by-step explanation:

Use Pythagorean Theorem

a^2 + b^2 = c^2

See image

WILL GIVE BRAINLIEST IF UR RIGHTTT!

Answers

Answer:

[tex]-\sqrt{5\\}[/tex]

Step-by-step explanation:

2/3x + 5/6=3 1/3 I need it in as a mixed number in it's simplest form please

Answers

Answer:

3 3/4

Step-by-step explanation:

Graph y=2x+5 on the plane

Answers

Answer:

Incorrect

Step-by-step explanation:

for your slope go down two to the right one

whats 8 to the power of 6 please

Answers

Answer:

262144

Step-by-step explanation:

Hope I was able to help you with your question , have a great day :)

Answer:

Step-by-step explanation:

I think 8 to the power of 6 Is 262144

will mark brainliest (2 possible answers pls) ( NO LINKS OR ANSWERS WITH NO EXPLANATION)

Answers

Answer:

P = 22.22

Step-by-step explanation:

9-(1-3y)=4+y-(3-y), find y

Answers

Answer:

-7 is the answer!! :) hope this helps

Mr Jibril wants to fill a rectangular container measuring 8 m by 5 m by 2 m completely with gravel. Gravel costs $26 per cubic metre. He has only $1500. How much more money will Mr Jibril need to pay for the gravel?

Answers

I should be any more points for this but 26 per cubic meter he only has 1500 but that’ an answer of 14,000 600 m³

There are three times as many girls as boys in the school choir. If there are 24 girls how many singers are in the chior altogether

Answers

Answer: 8

Step-by-step explanation:

Answer:

chicken

Step-by-step explanation:

nugget

A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 167 feet.

PLS HELP URGENTT

Answers

Answer:

Please give Brainliest!

Step-by-step explanation:

The three sides are 36ft, 72ft, and 59 ft.

(a) Round off 3.612 and 29.87 to 2 significant figures.
(b) Use your answers in part (a) to estimate the value of 3.612 ÷ 29.87.
also pls show how you found the answer

Answers

A)

3.612 = 3.6
29.87= 30

B)

3.6/30= 0.12

Easy method to do this:
360/30= 12
12/100= 0.12

Hi Help me with question 6b) pls

Answers

Answer:

k = 9

Step-by-step explanation:

Consider the pattern on the right side , that is

[tex]T_{k}[/tex] = k(k + 2) + 1 = k² + 2k + 1

Equating

k² + 2k + 1 = 100 ( subtract 100 from both sides )

k² + 2k - 99 = 0 ← in standard form

(k + 11)(k - 9) = 0 ← in factored form

Equate each factor to zero and solve for k

k + 11 = 0 ⇒ k = - 11

k - 9 = 0 ⇒ k = 9

But k > 0 , then k = 9

pls help pls no links?

Answers

[tex]\dfrac{3^{15}}{3^3} = 3^{15 -3} = 3^{12}[/tex]

1.What is the domain of this graph?____

Answers

Answer:

x=2

Step-by-step explanation:

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solve the following quadratic equation 2×2-x=21​

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solve the following quadratic equation
2×2-x=21