Factored Form
Solving using Square Roots
♫ Quadratic Formula ♫
Completing The Square
Miscellaneous
100

What are the zeroes?

f(x) = (x+3)(x-5)

-3 and 5

100

Solve for the roots.

(x-3)^2=25

-2 and 8

100

What are the x-intercepts (roots, zeroes)?

x^2-5x-14=0

7 and -2

100

Solve the following equations by completing the square

x ^2 + 6x + 8 = 0

-2 and -4

100

What is the solution to the system?

x + 2y = 7

3x - 2y = -11

Solution: (-1, 4)

x = -1, y = 4

200

What are the zeroes?

g(x)=2(x+4)(x-1)

-4 and 1

200

Solve for the roots.

x^2-49=0

+7 and -7

200

What are the zeroes (solutions for x)?

2x^2+2x-12=0

2 and -3

200

Solve the following equations by completing the square

x ^2 + 14x − 15 = 0

1 and -15

200

Solve for x.

abs(2x+5)+8=23

-5 and -10

300

What are the zeroes?

h(x) = (2x-1)(x+4)

1/2 and -4

300

Solve for the roots.

x^2+16=0

+4i and -4i

300

What are the x-intercepts (zeroes, roots)?

x^2-4x+4=0

2

300

Solve the following equations by completing the square

n^ 2 − 2n − 3 = 0

3 and -1

300

What are the solutions for the following system?

y=-x+ 5x + 6    

y=x + 6

(0, 6) and (4, 10)

400

What are the zeroes?

h = -(2x-5)(x-8)

8 and 5/2

400

Solve for the roots.

9x^2 + 5 = 41

-2 and 2

400

What are the zeroes?

2x^2+3x-20=0

5/2 and -4

400

Solve the following equations by completing the square

k ^2 − 12k + 23 = 0

6+-\sqrt13

 

400

Evaluate f(-3)

f(x)=-x^2+2x-3

f(3)=-(-3)^2+2(-3)-3 = -18

500

What are the zeroes?

y = 5(3x+2)(x+5)

-2/3 and -5

500

Solve for the roots.

2x^2-200=0

-10 and 10

500

What are the zeroes (roots, x-intercepts)?

2x^ 2 − 7x − 13 = −10

(7+-\sqrt73)/4

500

Solve the following equations by completing the square

p^ 2 + 14 p − 38 = 0

-7 +- \sqrt87

500

When will the ball hit the ground?

h(t)=-16t^2+46t+6

3 seconds

(-46+-sqrt((46)^2-4(-16)(6)))/(2(-16)

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