Question

What is the solution set of 4x^2-3=11x?

Answer 1

I believe the answer is C

Answer 2

Move all terms to one side

4x^2 - 3 - 11x = 0

Split the second term in 4x^2 - 3 - 11x into two terms

4x^2 + x - 12x - 3 = 0

Factor out common terms in the first two terms, then in the last two terms

x(4x + 1) -3(4x + 1) = 0

Factor out the common term 4x + 1

(4x + 1)(x - 3) = 0

Solve for x

x = -1/4, 3

Answer: C. {-1/4, 3}