5x^2=279

Solution for 5x^2=279 equation:

5x^2=279

We move all terms to the left:

5x^2-(279)=0

a = 5; b = 0; c = -279;
Δ = b2-4ac
Δ = 02-4·5·(-279)
Δ = 5580
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:

$\sqrt{\Delta}=\sqrt{5580}=\sqrt{36*155}=\sqrt{36}*\sqrt{155}=6\sqrt{155}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{155}}{2*5}=\frac{0-6\sqrt{155}}{10}
=-\frac{6\sqrt{155}}{10}
=-\frac{3\sqrt{155}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{155}}{2*5}=\frac{0+6\sqrt{155}}{10}
=\frac{6\sqrt{155}}{10}
=\frac{3\sqrt{155}}{5}
$