Solve the equation by factoring.

Question

2x^2 + 8x + 1 = 0

How do I arrive at this answer?

-2 + or - radical 14 over 2

Answer 1

First of all the equation does not factor over the rationals.
Secondly your answer is not correct.

use the formula
x = (-8 ±√(64-4(2)(1))/4
= (-8 ±√56)/4
= (-8 ± 2√14)/4
= (-4 ± √14)/2

(it works, I subbed it back in)

Answer 2

the answer i provided was from the back of the book.