Solve x=frac{-8+sqrt{844}}{6}

$$x = \frac { - 8 + \sqrt { 844 } } { 6 }$$

Solve for x

$$x = \frac{\sqrt{211} - 4}{3} \approx 3.508613015$$

Steps for Solving Linear Equation

Factor 844=2^{2}\times 211. Rewrite the square root of the product \sqrt{2^{2}\times 211} as the product of square roots \sqrt{2^{2}}\sqrt{211}. Take the square root of 2^{2}.

$$x=\frac{-8+2\sqrt{211}}{6}$$

Divide each term of -8+2\sqrt{211} by 6 to get -\frac{4}{3}+\frac{1}{3}\sqrt{211}.

$$x=-\frac{4}{3}+\frac{1}{3}\sqrt{211}$$

Assign x

$$x≔\frac{\sqrt{211}-4}{3}$$