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9x^2+75x-84=0
a = 9; b = 75; c = -84;
Δ = b2-4ac
Δ = 752-4·9·(-84)
Δ = 8649
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{8649}=93$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(75)-93}{2*9}=\frac{-168}{18} =-9+1/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(75)+93}{2*9}=\frac{18}{18} =1 $
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