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-15x^2-19x+15=0
a = -15; b = -19; c = +15;
Δ = b2-4ac
Δ = -192-4·(-15)·15
Δ = 1261
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{-(-19)-\sqrt{1261}}{2*-15}=\frac{19-\sqrt{1261}}{-30} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19)+\sqrt{1261}}{2*-15}=\frac{19+\sqrt{1261}}{-30} $
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