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9x^2-127x-430=0
a = 9; b = -127; c = -430;
Δ = b2-4ac
Δ = -1272-4·9·(-430)
Δ = 31609
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{-(-127)-\sqrt{31609}}{2*9}=\frac{127-\sqrt{31609}}{18} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-127)+\sqrt{31609}}{2*9}=\frac{127+\sqrt{31609}}{18} $
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