Y=11x2+77x

Solution for Y=11x2+77x equation:

=11Y^2+77Y

We move all terms to the left:

-(11Y^2+77Y)=0

We get rid of parentheses

-11Y^2-77Y=0

a = -11; b = -77; c = 0;
Δ = b2-4ac
Δ = -772-4·(-11)·0
Δ = 5929
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5929}=77$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-77)-77}{2*-11}=\frac{0}{-22}
=0
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-77)+77}{2*-11}=\frac{154}{-22}
=-7
$