Question

Solve this quadratic equation using the quadratic formula. 3x^2 + 5x + 1 = 0

Answer 1

The solutions to the equation are $\frac{-5 +/- \sqrt{13}}{6}$

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.

$\frac{-5 +/- \sqrt{5^{2}-4(3)(1)}}{2(3)}$

$\frac{-5 +/- \sqrt{25-12}}{6}$

$\frac{-5 +/- \sqrt{13}}{6}$