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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:We get rid of parentheses
11x(x+11)
We multiply parentheses
11x^2+121x
Back to the equation:
-(11x^2+121x)
-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} $
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