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5X^2-7X-11=0
a = 5; b = -7; c = -11;
Δ = b2-4ac
Δ = -72-4·5·(-11)
Δ = 269
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{269}}{2*5}=\frac{7-\sqrt{269}}{10} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{269}}{2*5}=\frac{7+\sqrt{269}}{10} $
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