Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

x = \\frac{-10 \\pm \\sqrt{28}}{6}

Question

x = \frac{-10 \pm \sqrt{28}}{6}

Explanation:

Step1: Simplify the square root

$\sqrt{28} = \sqrt{4 \times 7} = 2\sqrt{7}$

Step2: Substitute back and simplify fraction

$x = \frac{-10 \pm 2\sqrt{7}}{6} = \frac{-5 \pm \sqrt{7}}{3}$

Answer:

$x = \frac{-5 + \sqrt{7}}{3}$ and $x = \frac{-5 - \sqrt{7}}{3}$