y*y=150^2

Solution for y*y=150^2 equation:

y*y=150^2

We move all terms to the left:

y*y-(150^2)=0

We add all the numbers together, and all the variables

y*y-22500=0

Wy multiply elements

y^2-22500=0

a = 1; b = 0; c = -22500;
Δ = b2-4ac
Δ = 02-4·1·(-22500)
Δ = 90000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{90000}=300$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-300}{2*1}=\frac{-300}{2}
=-150
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+300}{2*1}=\frac{300}{2}
=150
$