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9x^2-37x-30=0
a = 9; b = -37; c = -30;
Δ = b2-4ac
Δ = -372-4·9·(-30)
Δ = 2449
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-\sqrt{2449}}{2*9}=\frac{37-\sqrt{2449}}{18} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+\sqrt{2449}}{2*9}=\frac{37+\sqrt{2449}}{18} $
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