Find the Roots/Zeros
Solve Using Square Roots
Quadratic Formula or Completing the Square
Choose a Method
100

p2 + -2p - 10 = 5

5, -3

100

4x2 + 25 = 125

x= 5 or x = -5

100

Complete the square: m2 − 5m − 14 = 0

{7, −2}

100

a2 + 14a - 51 = 0

{3, -17}

200

7r2 + 84 = -49r

-4, -3

200

(4x + 1)2 - 16 = 0

x = 3/4 or x = -5/4

200

Complete the square: b2 − 4b + 4 = 0

{2}

200

x2 − 12x + 11 = 0

{11, 1}

300

9n2 + 45n = -36

9(n+1)(n+4)

300

34 = (a - 2)2 - 2

a = 8 or a = -4

300

2x2 − 3x − 5 = 0

{5/2 , −1}

300

n2 = 18n + 40

{20, −2}

400

3v3 + 15v2 = 36v

3v(v+8)(v−3)

400

0 = 3(x + 7)2 - 24

x = -7 + 2 square root of 2

or

x = -7 - 2 square root of 2

400

9n2 = 4 + 7n

{ 7 + square root of 193 / 18, 7 - square root of 193 / 18}

400

x2 − 10x + 26 = 8

{5 + square root 7, 5 square root − 7}

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