Question

Solve the equation by extracting square roots: 3(x²) = 11.

A. x = sqrt(3)
B. x = -sqrt(3)
C. x = ±sqrt(11/3)
D. x = ±sqrt(3/11)

Answer 1

To solve the equation 3(x²) = 11, divide both sides by 3 and then take the square root of both sides, yielding the answer C. x = ±√(11/3).

Step-by-step explanation:

To solve the equation 3(x²) = 11 by extracting square roots, let's follow these steps:

1. Divide both sides of the equation by 3 to isolate the x² term: x² = 11/3.
2. Take the square root of both sides of the equation to solve for x: x = ±√(11/3).

By extracting square roots, we find that x can have two possible values. Thus, the correct answer is C. x = ±√(11/3).