Y=x2-73

Solution for Y=x2-73 equation:

=Y2-73

We move all terms to the left:

-(Y2-73)=0

We add all the numbers together, and all the variables

-(+Y^2-73)=0

We get rid of parentheses

-Y^2+73=0

We add all the numbers together, and all the variables

-1Y^2+73=0

a = -1; b = 0; c = +73;
Δ = b2-4ac
Δ = 02-4·(-1)·73
Δ = 292
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{292}=\sqrt{4*73}=\sqrt{4}*\sqrt{73}=2\sqrt{73}$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{73}}{2*-1}=\frac{0-2\sqrt{73}}{-2}
=-\frac{2\sqrt{73}}{-2}
=-\frac{\sqrt{73}}{-1}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{73}}{2*-1}=\frac{0+2\sqrt{73}}{-2}
=\frac{2\sqrt{73}}{-2}
=\frac{\sqrt{73}}{-1}
$