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-11x^2+17x-6=0
a = -11; b = 17; c = -6;
Δ = b2-4ac
Δ = 172-4·(-11)·(-6)
Δ = 25
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{25}=5$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-5}{2*-11}=\frac{-22}{-22} =1 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+5}{2*-11}=\frac{-12}{-22} =6/11 $
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