26x^2=91

Solution for 26x^2=91 equation:

26x^2=91

We move all terms to the left:

26x^2-(91)=0

a = 26; b = 0; c = -91;
Δ = b2-4ac
Δ = 02-4·26·(-91)
Δ = 9464
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:

$\sqrt{\Delta}=\sqrt{9464}=\sqrt{676*14}=\sqrt{676}*\sqrt{14}=26\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-26\sqrt{14}}{2*26}=\frac{0-26\sqrt{14}}{52}
=-\frac{26\sqrt{14}}{52}
=-\frac{\sqrt{14}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+26\sqrt{14}}{2*26}=\frac{0+26\sqrt{14}}{52}
=\frac{26\sqrt{14}}{52}
=\frac{\sqrt{14}}{2}
$