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15x^2+11x-2=0
a = 15; b = 11; c = -2;
Δ = b2-4ac
Δ = 112-4·15·(-2)
Δ = 241
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{-(11)-\sqrt{241}}{2*15}=\frac{-11-\sqrt{241}}{30} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{241}}{2*15}=\frac{-11+\sqrt{241}}{30} $
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