Question

Solve this quadratic equation. 6x^2 - 2x = 7

Answer 1

The solutions to the equation are $\frac{1 +/- \sqrt{43}}{6}$.

You can find the answer to any quadratic by using the quadratic formula. The formula is below.

$\frac{-b +/- \sqrt{b^{2}-4ac}}{2a}$

Then find a (the number attached to x^2), b (the number attached to x) and c (the constant). This will allow you to plug in and solve.

$\frac{2 +/- \sqrt{-2^{2}-4(6)(-7)}}{2(6)}$

$\frac{2 +/- \sqrt{4 + 168}}{12}$

$\frac{2 +/- \sqrt{172}}{12}$

$\frac{1 +/- \sqrt{43}}{6}$