14x^2=91=0

Solution for 14x^2=91=0 equation:

14x^2=91=0

We move all terms to the left:

14x^2-(91)=0

a = 14; b = 0; c = -91;
Δ = b2-4ac
Δ = 02-4·14·(-91)
Δ = 5096
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:

$\sqrt{\Delta}=\sqrt{5096}=\sqrt{196*26}=\sqrt{196}*\sqrt{26}=14\sqrt{26}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-14\sqrt{26}}{2*14}=\frac{0-14\sqrt{26}}{28}
=-\frac{14\sqrt{26}}{28}
=-\frac{\sqrt{26}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+14\sqrt{26}}{2*14}=\frac{0+14\sqrt{26}}{28}
=\frac{14\sqrt{26}}{28}
=\frac{\sqrt{26}}{2}
$