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6x^2-7x-15=0
a = 6; b = -7; c = -15;
Δ = b2-4ac
Δ = -72-4·6·(-15)
Δ = 409
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{-(-7)-\sqrt{409}}{2*6}=\frac{7-\sqrt{409}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{409}}{2*6}=\frac{7+\sqrt{409}}{12} $
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