26x2=100

Solution for 26x2=100 equation:

26x^2=100

We move all terms to the left:

26x^2-(100)=0

a = 26; b = 0; c = -100;
Δ = b2-4ac
Δ = 02-4·26·(-100)
Δ = 10400
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:

$\sqrt{\Delta}=\sqrt{10400}=\sqrt{400*26}=\sqrt{400}*\sqrt{26}=20\sqrt{26}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{26}}{2*26}=\frac{0-20\sqrt{26}}{52}
=-\frac{20\sqrt{26}}{52}
=-\frac{5\sqrt{26}}{13}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{26}}{2*26}=\frac{0+20\sqrt{26}}{52}
=\frac{20\sqrt{26}}{52}
=\frac{5\sqrt{26}}{13}
$