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-11x^2+3x+217=0
a = -11; b = 3; c = +217;
Δ = b2-4ac
Δ = 32-4·(-11)·217
Δ = 9557
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{-(3)-\sqrt{9557}}{2*-11}=\frac{-3-\sqrt{9557}}{-22} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{9557}}{2*-11}=\frac{-3+\sqrt{9557}}{-22} $
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