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10x^2+15x-175=0
a = 10; b = 15; c = -175;
Δ = b2-4ac
Δ = 152-4·10·(-175)
Δ = 7225
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{7225}=85$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-85}{2*10}=\frac{-100}{20} =-5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+85}{2*10}=\frac{70}{20} =3+1/2 $
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