Unit 2

Solving Polynomials

by Taking the Square Root

VOCABULARY

Radicand-

Perfect Square-

(Ex 1) Solve quadratic equations

Solve the equation.

a) z2 – 5 = 4

b) r2 + 7 = 4

(Ex 2) Take square root of a fraction

Solve the equation 25k2 = 9.

Checkpoint

1) 3x2=108

A.) 6

B.) 6, -6

C.) 36

D.) 36, -36

CHECKPOINT

1) 3x2 = 108

Checkpoint

2) t2 + 17 = 17

CHECKPOINT

2) t2 + 17 = 17

Checkpoint

3) 81p2=4

A.) 4/81, -4/81

B.) 2/9

C.) 4/81

D.) -2/9, 2/9

CHECKPOINT

3) 81p2 = 4

(Ex 3) Approximate solutions of a quadratic equation

Solve 4x2 + 3 = 23. Leave in simplified radical form.

Checkpoint

4) 2x2-7=9

A.) 8, -8

C.) 4, -4

CHECKPOINT

4) 2x2 – 7 = 9

Checkpoint

5) 6g2 + 1 = 19

A.) 3, -3

D.) 18, -18

CHECKPOINT

5) 6g2 + 1 = 19

(Ex 4) Solve a quadratic equation

Solve 5(x + 1)2 = 30. Round the solutions to the nearest hundredth.

Checkpoint

6) 3(m - 4)2 = 12

A.) 2, -2

B.) 4, -4

C.) 2, 6

D.) 0, 8

CHECKPOINT

6) 3(m – 4)2 = 12

Checkpoint

7) 4(a - 3)2 = 32

C.) 8, -8

D.) 5, 11

CHECKPOINT

7) 4(a – 3)2 = 32

(Ex 5) Solve a quadratic equation

Solve x2 -10x + 25 = 27

A.) -3, -11

B.) 3, 11

C.) -3, 11

D.) 3, -11

CHECKPOINT

8) x2 + 8x +16 = 49

CHECKPOINT

8) x2 + 8x +16 = 49