1.5625x^2=30^2

Solution for 1.5625x^2=30^2 equation:

1.5625x^2=30^2

We move all terms to the left:

1.5625x^2-(30^2)=0

We add all the numbers together, and all the variables

1.5625x^2-900=0

a = 1.5625; b = 0; c = -900;
Δ = b2-4ac
Δ = 02-4·1.5625·(-900)
Δ = 5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5625}=75$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-75}{2*1.5625}=\frac{-75}{3.125}
=-24
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+75}{2*1.5625}=\frac{75}{3.125}
=24
$