9.25=11x(x+11)

Solution for 9.25=11x(x+11) equation:

9.25=11x(x+11)

We move all terms to the left:

9.25-(11x(x+11))=0


We calculate terms in parentheses: -(11x(x+11)), so:

11x(x+11)

We multiply parentheses

11x^2+121x

Back to the equation:

-(11x^2+121x)


We get rid of parentheses

-11x^2-121x+9.25=0

a = -11; b = -121; c = +9.25;
Δ = b2-4ac
Δ = -1212-4·(-11)·9.25
Δ = 15048
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{15048}=\sqrt{36*418}=\sqrt{36}*\sqrt{418}=6\sqrt{418}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-121)-6\sqrt{418}}{2*-11}=\frac{121-6\sqrt{418}}{-22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-121)+6\sqrt{418}}{2*-11}=\frac{121+6\sqrt{418}}{-22}
$