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15x^2-71x-70=0
a = 15; b = -71; c = -70;
Δ = b2-4ac
Δ = -712-4·15·(-70)
Δ = 9241
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{-(-71)-\sqrt{9241}}{2*15}=\frac{71-\sqrt{9241}}{30} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-71)+\sqrt{9241}}{2*15}=\frac{71+\sqrt{9241}}{30} $
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