14x^2=167

Solution for 14x^2=167 equation:

14x^2=167

We move all terms to the left:

14x^2-(167)=0

a = 14; b = 0; c = -167;
Δ = b2-4ac
Δ = 02-4·14·(-167)
Δ = 9352
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{9352}=\sqrt{4*2338}=\sqrt{4}*\sqrt{2338}=2\sqrt{2338}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{2338}}{2*14}=\frac{0-2\sqrt{2338}}{28}
=-\frac{2\sqrt{2338}}{28}
=-\frac{\sqrt{2338}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{2338}}{2*14}=\frac{0+2\sqrt{2338}}{28}
=\frac{2\sqrt{2338}}{28}
=\frac{\sqrt{2338}}{14}
$