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20x^2-3x-55=0
a = 20; b = -3; c = -55;
Δ = b2-4ac
Δ = -32-4·20·(-55)
Δ = 4409
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{4409}}{2*20}=\frac{3-\sqrt{4409}}{40} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{4409}}{2*20}=\frac{3+\sqrt{4409}}{40} $
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