Question

Use the quadratic formula to determine the exact solutions to the equation 6x^2 + 4x - 3 = 0

Answer 1

To solve quadratics, the most correct and effective way, in my opinion, is the quadratic formula:

${\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}.}$

Plugging it in, we get:

$\frac{-4\pm \sqrt{16+72} }{12} = \frac{-4\pm 2\sqrt{22}}{12} = \frac{-2\pm \sqrt{22} }{6}$

So the final answer is:

$\frac{ \sqrt{22}-2 }{6}$ and $\frac{-2- \sqrt{22} }{6}$