Question

Create a list of steps, in order, that will solve the following equation. 1/ 4 ( x + 5 )^2 − 1 = 3

Answer 1

x= -1, -9

Explanation:

Step 1: Simplify both sides of the equation.

1/4x2+5/2x+21/4=3

Step 2: Subtract 3 from both sides.

1/4x2+5/2x+21/4−3=3−3

1/4x2+5/2x+9/4=0

For this equation: a=0.25, b=2.5, c=2.25

0.25x2+2.5x+2.25=0

Step 3: Use quadratic formula with a=0.25, b=2.5, c=2.25.

x=−b±√b2−4ac/2a

x=−(2.5)±√(2.5)2−4(0.25)(2.25)/2(0.25)

x=−2.5±√4/0.5

x=−1,−9