A. Extracting the Square Roots
1. (3x - 2)² = 18
+ √2 or x = - √2
Step 1: Simplify both sides of the equation.
9x2−12x+4=18
Step 2: Subtract 18 from both sides.
9x2−12x+4−18=18−18
9x2−12x−14=0
For this equation: a=9, b=-12, c=-14
9x2+−12x+−14=0
Step 3: Use quadratic formula with a=9, b=-12, c=-14.
x =
x = + √2 or x = - √2
Answer is + √2 or x = - √2
========================
B. Factoring
1. x² + 12x + 36 = 0
-6
[tex]\large SOLUTION [/tex]
Step 1: Factor left side of equation.
(x+6)(x+6)=0
Step 2: Set factors equal to 0.
x+6=0 or x+6=0
x=−6
Answer is -6
C. Completing the Square
1. x² - 2x - 12 = 0
1 + √13 or 1 - √13
For this equation: a=1, b=-2, c=-12
1x2+−2x+−12=0
Step 1: Use quadratic formula with a=1, b=-2, c=-12.
x = 1 + √13 or x = 1 - √13
Answer is 1 + √13 or 1 - √13
D. Quadratic Formula
1. 16x² - 24x + 9 = 0
(4x−3)(4x−3)=0
4x−3=0 or 4x−3=0
Answer is
Step-by-step explanation:
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
A. Extracting the Square Roots
1. (3x - 2)² = 18
+ √2 or x = - √2
Step 1: Simplify both sides of the equation.
9x2−12x+4=18
Step 2: Subtract 18 from both sides.
9x2−12x+4−18=18−18
9x2−12x−14=0
For this equation: a=9, b=-12, c=-14
9x2+−12x+−14=0
Step 3: Use quadratic formula with a=9, b=-12, c=-14.
x =
x =
x =
x = + √2 or x = - √2
Answer is + √2 or x = - √2
========================
B. Factoring
1. x² + 12x + 36 = 0
-6
[tex]\large SOLUTION [/tex]
Step 1: Factor left side of equation.
(x+6)(x+6)=0
Step 2: Set factors equal to 0.
x+6=0 or x+6=0
x=−6
Answer is -6
========================
C. Completing the Square
1. x² - 2x - 12 = 0
1 + √13 or 1 - √13
For this equation: a=1, b=-2, c=-12
1x2+−2x+−12=0
Step 1: Use quadratic formula with a=1, b=-2, c=-12.
x =
x =
x = 1 + √13 or x = 1 - √13
Answer is 1 + √13 or 1 - √13
========================
D. Quadratic Formula
1. 16x² - 24x + 9 = 0
Step 1: Factor left side of equation.
(4x−3)(4x−3)=0
Step 2: Set factors equal to 0.
4x−3=0 or 4x−3=0
x =
Answer is
Step-by-step explanation: