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

x= -1, -9

Step-by-step 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

a = 7 and c = 12

Step-by-step explanation:

Set up 2 equations and use substitution:

4a + 2c = 52

12a + 4c = 132

In the first equation, c = 26 - 2a

We can plug that into the second equation to solve for a.

12a + 4(26 - 2a) = 132

a = 7

Plug a back in to either original equation to solve for c:

4(7) + 2c = 52

c = 12