Question

Create a list of steps, in order, that will solve the following equation.
1/2(x+5) ^2 +2=42.5

Answer 1

1/2(x+5) ^2 +2=42.5

Subtract 2 from both sides of the equation.

1/2(x+5) ^2 +2 -2=42.5-2

Subtracting 2 from itself leaves 0.

1/2(x+5) ^2 =42.5-2

Subtract 2 from 42.5.

1/2(x+5) ^2 =40.5

Multiply both sides by 2.

1/2(1/2(x+5) ^2 =(40.5)1/2

(x+5) ^2 =81

Take the square root of both sides of the equation.

x+5=9

x+5=−9

Subtract 5 from both sides of the equation.

x+5−5=9−5

x+5−5=−9−5

Subtracting 5 from itself leaves 0.

x=9−5

x=−9−5

Subtract 5 from 9.

x=4

Subtract 5 from −9.

x=−14

The equation is now solved.

x=4

x=−14