Unit 5 Algebra Investigations
Notes 2.13: Use Square Roots to Solve Quadratic Equations
Lesson 3: Solving Polynomials
MM1A3a
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) 3x^2=108
A.) 6
B.) 6, -6
C.) 36
D.) 36, -36
CHECKPOINT
1) 3x2 = 108
Checkpoint
2) t^2 + 17 = 17
CHECKPOINT
2) t2 + 17 = 17
Checkpoint
3) 81p^2=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. Round the solutions to the nearest hundredth.
Checkpoint
4) 2x^2-7=9
A.) 8, -8
B.) 2.83, -2.83
C.) 4, -4
D.) 3.81, -3.81
CHECKPOINT
4) 2x2 – 7 = 9
Checkpoint
5) 6g^2 + 1 = 19
A.) 3, -3
B.) 1.83, -1.83
C.) 1.73, -1.73
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
A.) 5.828, 0.172
B.) 2.828, -2.828
C.) 8, -8
D.) 5, 11
CHECKPOINT
7) 4(a – 3)2 = 32
(Ex 5) Solve by squaring a radical
) 7 10
) 3 3 5
a x
b x x
Checkpoint
8) 0305 x
CHECKPOINT
0305 x8)
Checkpoint
9) 742 xx
CHECKPOINT
742 xx9)
ASSIGNMENT
p. 121 #2-24 (even)
p.148 #14, 16, 24