Solve each equation by factoring.
Solve using square roots.
Solve each equation with the quadratic formula
☠Pick your Poison (choose method)
Terms
100

p2 + -2p - 10 = 5

5, -3

100

4x2 + 25 = 125

x= 5 or x = -5

100

m2 − 5m − 14 = 0

{7, −2}

100

a2 + 14a - 51 = 0

{3, -17}

100

What are the solutions of a quadratic called?

x - intercepts, zeros, roots
200

9n2 + 39n = -36

-4/3, -3

200

(4x + 1)2 - 16 = 0

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

200

b2 − 4b + 4 = 0

{2}

200

x2 − 12x + 11 = 0

{11, 1}

200

This function would have a minimum or a maximum?

f(x) = -2x2+2x-4

Maximum

300

7r2 + 84 = -49r

-4, -3

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}

300

What is the imaginary line called that splits a parabola down the middle?

Axis of Symmetry

400

3v2 + 7v = 40

8/3, -5

400

49x2 + 2 = 83

x = 9/7, x = -9/7

400

9n2 = 4 + 7n

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


x = 1.16, x = -0.38

400

x2 − 10x + 26 = 8

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

400

How many possible solutions can a quadratic equation have (there are 3 answers)?

0, 1, 2

500

5x2+50x+80=10x

x = -4

500

2x2 + 14 = 2 

No Real Solution


500

4 = 2x2-11x+17

x = 3.78, x = 1.72

500

2m2  = -4m

m = 0, m = -2

500

When there is one solution to a quadratic equation, we know that solution is the ________.

vertex

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