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5x^2+53.8x-1640.9=0
a = 5; b = 53.8; c = -1640.9;
Δ = b2-4ac
Δ = 53.82-4·5·(-1640.9)
Δ = 35712.44
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{-(53.8)-\sqrt{35712.44}}{2*5}=\frac{-53.8-\sqrt{35712.44}}{10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(53.8)+\sqrt{35712.44}}{2*5}=\frac{-53.8+\sqrt{35712.44}}{10} $
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