Algebra Question!

Question

Solve for x: x² + x - 1 = 0 This solution contains a fraction ± another fraction with a radical numerator. What is this fraction with a radical numerator?

(A) ± (√7)/(2)

(B) ± (√17)/(4)

(C) ± (√-3)/(2)

(D) ± (√3)/(2)

(E) None of these

For this I got (D) ± (√3)/(2), is this the correct answer?

Answer 1

x² + x - 1 = 0

Use the quadratic formula.

x = [-b ± √(b² - 4ac)] / (2a)

a = 1

b = 1

c = -1

Plug in the numbers and evaluate.