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9x(x+8)=90
We move all terms to the left:
9x(x+8)-(90)=0
We multiply parentheses
9x^2+72x-90=0
a = 9; b = 72; c = -90;
Δ = b2-4ac
Δ = 722-4·9·(-90)
Δ = 8424
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{8424}=\sqrt{324*26}=\sqrt{324}*\sqrt{26}=18\sqrt{26}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(72)-18\sqrt{26}}{2*9}=\frac{-72-18\sqrt{26}}{18} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(72)+18\sqrt{26}}{2*9}=\frac{-72+18\sqrt{26}}{18} $
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