How do you solve x^2 + 7x + 2 = 0?

Question

How do you solve
`x^2 + 7x + 2 = 0`?

Answer 1

-7 ± √6

x = ----------------

2

Explanation:

You have several options here. One would be "completing the square," and another would be "quadratic formula."

Here the coefficients of this quadratic are a = 1, b = 7 and c = 2.

The discriminant is therefore b^2 - 4(a)(c), or 7^2 - 4(1)(2) = 6.

The roots are thus:

-7 ± √6

x = ----------------

2