Question

Harlon wrote the equation A=18(x^2+1) to find the area of a rectangle that has a length of x^2+1 and a width of 18. He solved for x and got x= ±√(A/18 -1). Which of the following is an equivalent equation for x?

A. x= ±√(A-18/18)
B. x= ±√(A+18/18)
C. x= ±√(A-36)
D. x= ±√(A+36)

Answer 1

A is the correct answer

Explanation:

Answer 2

To solve for x in the equation for the area which was given to be , A = 18(x^2 + 1), we divide both sides of the equation by 18 first.

A/18 = x^2 + 1

Then, we subtract 1 from both sides of the equation,

A/18 – 1 = x^2

Then, we simplify the expression in the left side of the equation,

(A – 18)/18 = x^2

And finally, obtain the square root from both sides of equation,

Sqrt ((A-18)/18) = x

The expression equivalent to this is letter A.