x2=1575

Solution for x2=1575 equation:

x2=1575

We move all terms to the left:

x2-(1575)=0

We add all the numbers together, and all the variables

x^2-1575=0

a = 1; b = 0; c = -1575;
Δ = b2-4ac
Δ = 02-4·1·(-1575)
Δ = 6300
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:

$\sqrt{\Delta}=\sqrt{6300}=\sqrt{900*7}=\sqrt{900}*\sqrt{7}=30\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30\sqrt{7}}{2*1}=\frac{0-30\sqrt{7}}{2}
=-\frac{30\sqrt{7}}{2}
=-15\sqrt{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30\sqrt{7}}{2*1}=\frac{0+30\sqrt{7}}{2}
=\frac{30\sqrt{7}}{2}
=15\sqrt{7}
$