13x^2=676

Solution for 13x^2=676 equation:

13x^2=676

We move all terms to the left:

13x^2-(676)=0

a = 13; b = 0; c = -676;
Δ = b2-4ac
Δ = 02-4·13·(-676)
Δ = 35152
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:

$\sqrt{\Delta}=\sqrt{35152}=\sqrt{2704*13}=\sqrt{2704}*\sqrt{13}=52\sqrt{13}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-52\sqrt{13}}{2*13}=\frac{0-52\sqrt{13}}{26}
=-\frac{52\sqrt{13}}{26}
=-2\sqrt{13}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+52\sqrt{13}}{2*13}=\frac{0+52\sqrt{13}}{26}
=\frac{52\sqrt{13}}{26}
=2\sqrt{13}
$