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2x^2-19x-101=0
a = 2; b = -19; c = -101;
Δ = b2-4ac
Δ = -192-4·2·(-101)
Δ = 1169
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{-(-19)-\sqrt{1169}}{2*2}=\frac{19-\sqrt{1169}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19)+\sqrt{1169}}{2*2}=\frac{19+\sqrt{1169}}{4} $
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