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2x^2-112x^2-11x+5=0
We add all the numbers together, and all the variables
-110x^2-11x+5=0
a = -110; b = -11; c = +5;
Δ = b2-4ac
Δ = -112-4·(-110)·5
Δ = 2321
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{-(-11)-\sqrt{2321}}{2*-110}=\frac{11-\sqrt{2321}}{-220} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{2321}}{2*-110}=\frac{11+\sqrt{2321}}{-220} $
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