Question

Given the equation −4square root of x minus 3 = -12, solve for x and identify if it is an extraneous solution

Answer 1

The given equation is:

-4√x - 3 = -12

Add 3 to both sides:

-4√x = -9

Divide both sides by -4:

√x = 9/4

Square both sides:

(√x)² = (9/4)²

x = (81/16)

Thus, the solution of the equation is x = 81/16.

It is not an extraneous solution because it satisfies the original equation.