13x^2=148

Solution for 13x^2=148 equation:

13x^2=148

We move all terms to the left:

13x^2-(148)=0

a = 13; b = 0; c = -148;
Δ = b2-4ac
Δ = 02-4·13·(-148)
Δ = 7696
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:

$\sqrt{\Delta}=\sqrt{7696}=\sqrt{16*481}=\sqrt{16}*\sqrt{481}=4\sqrt{481}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{481}}{2*13}=\frac{0-4\sqrt{481}}{26}
=-\frac{4\sqrt{481}}{26}
=-\frac{2\sqrt{481}}{13}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{481}}{2*13}=\frac{0+4\sqrt{481}}{26}
=\frac{4\sqrt{481}}{26}
=\frac{2\sqrt{481}}{13}
$