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9x^2-10x-175=0
a = 9; b = -10; c = -175;
Δ = b2-4ac
Δ = -102-4·9·(-175)
Δ = 6400
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{6400}=80$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-80}{2*9}=\frac{-70}{18} =-3+8/9 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+80}{2*9}=\frac{90}{18} =5 $
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