5x^2=1275

Solution for 5x^2=1275 equation:

5x^2=1275

We move all terms to the left:

5x^2-(1275)=0

a = 5; b = 0; c = -1275;
Δ = b2-4ac
Δ = 02-4·5·(-1275)
Δ = 25500
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:

$\sqrt{\Delta}=\sqrt{25500}=\sqrt{100*255}=\sqrt{100}*\sqrt{255}=10\sqrt{255}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{255}}{2*5}=\frac{0-10\sqrt{255}}{10}
=-\frac{10\sqrt{255}}{10}
=-\sqrt{255}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{255}}{2*5}=\frac{0+10\sqrt{255}}{10}
=\frac{10\sqrt{255}}{10}
=\sqrt{255}
$