Question

5x² + 1 = 37

Explanation:

Step1: Isolate the $x^2$ term

Subtract 1 from both sides:
$5x^2 + 1 - 1 = 37 - 1$
$5x^2 = 36$

Step2: Solve for $x^2$

Divide both sides by 5:
$x^2 = \frac{36}{5}$

Step3: Solve for $x$

Take square root of both sides:
$x = \pm\sqrt{\frac{36}{5}} = \pm\frac{6}{\sqrt{5}} = \pm\frac{6\sqrt{5}}{5}$

Answer:

$x = \frac{6\sqrt{5}}{5}$ or $x = -\frac{6\sqrt{5}}{5}$