Y=x^2-6x-112

Solution for Y=x^2-6x-112 equation:

=Y^2-6Y-112

We move all terms to the left:

-(Y^2-6Y-112)=0

We get rid of parentheses

-Y^2+6Y+112=0

We add all the numbers together, and all the variables

-1Y^2+6Y+112=0

a = -1; b = 6; c = +112;
Δ = b2-4ac
Δ = 62-4·(-1)·112
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-22}{2*-1}=\frac{-28}{-2}
=+14
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+22}{2*-1}=\frac{16}{-2}
=-8
$