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9x^2-300x-864=0
a = 9; b = -300; c = -864;
Δ = b2-4ac
Δ = -3002-4·9·(-864)
Δ = 121104
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{121104}=348$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-300)-348}{2*9}=\frac{-48}{18} =-2+2/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-300)+348}{2*9}=\frac{648}{18} =36 $
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