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15x^2+70x-25=0
a = 15; b = 70; c = -25;
Δ = b2-4ac
Δ = 702-4·15·(-25)
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$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(70)-80}{2*15}=\frac{-150}{30} =-5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(70)+80}{2*15}=\frac{10}{30} =1/3 $
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