5x^2=5780

Solution for 5x^2=5780 equation:

5x^2=5780

We move all terms to the left:

5x^2-(5780)=0

a = 5; b = 0; c = -5780;
Δ = b2-4ac
Δ = 02-4·5·(-5780)
Δ = 115600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{115600}=340$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-340}{2*5}=\frac{-340}{10}
=-34
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+340}{2*5}=\frac{340}{10}
=34
$