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13x^2-8-7x=0
a = 13; b = -7; c = -8;
Δ = b2-4ac
Δ = -72-4·13·(-8)
Δ = 465
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{465}}{2*13}=\frac{7-\sqrt{465}}{26} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{465}}{2*13}=\frac{7+\sqrt{465}}{26} $
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