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

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

answer: 7

step-by-step explanation: