Question

now that the values have been substituted into the quadratic formula, well simplify to find the solutions.
$10x^2 + 11x - 6 = 0$
$a = 10, b = 11, c = -6$
$dfrac{-11 pm sqrt{121 - 4(10)(-6)}}{2(10)}$
simplify to find the solutions.
write both solutions, separated by a comma.
enter the correct answer.

Explanation:

Step1: Simplify discriminant

$\sqrt{121 - 4(10)(-6)} = \sqrt{121 + 240} = \sqrt{361} = 19$

Step2: Split into two solutions

First solution (using +): $\frac{-11 + 19}{2(10)}$; Second solution (using -): $\frac{-11 - 19}{2(10)}$

Step3: Calculate first solution

$\frac{8}{20} = \frac{2}{5}$

Step4: Calculate second solution

$\frac{-30}{20} = -\frac{3}{2}$

Answer:

$\frac{2}{5}, -\frac{3}{2}$