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5x^2+15x-85=0
a = 5; b = 15; c = -85;
Δ = b2-4ac
Δ = 152-4·5·(-85)
Δ = 1925
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1925}=\sqrt{25*77}=\sqrt{25}*\sqrt{77}=5\sqrt{77}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-5\sqrt{77}}{2*5}=\frac{-15-5\sqrt{77}}{10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+5\sqrt{77}}{2*5}=\frac{-15+5\sqrt{77}}{10} $
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