Create a list of steps, in order, that will solve the following equation 1/4(x+5)^2-1=3
1 answer:
Answer:
Add 1 to each side
Multiply each side by 4
Take the square root of each side
Subtract 5 from each side
Combine terms
Step-by-step explanation:
1/4(x+5)^2-1=3
Add 1 to each side
1/4(x+5)^2-1+1=3+1
1/4(x+5)^2=4
Multiply each side by 4
4*1/4(x+5)^2=4*4
(x+5)^2=16
Take the square root of each side
sqrt((x+5)^2)=±sqrt(16)
x+5 = ±4
Subtract 5 from each side
x+5-5 = -5 ±4
x = -5 ±4
Combine terms
x = -5+4 x = -5-4
x = -1 x = -9
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