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148x^2-393.64x-1785=0
a = 148; b = -393.64; c = -1785;
Δ = b2-4ac
Δ = -393.642-4·148·(-1785)
Δ = 1211672.4496
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{-(-393.64)-\sqrt{1211672.4496}}{2*148}=\frac{393.64-\sqrt{1211672.4496}}{296} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-393.64)+\sqrt{1211672.4496}}{2*148}=\frac{393.64+\sqrt{1211672.4496}}{296} $
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