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3x^2-50x+75=0
a = 3; b = -50; c = +75;
Δ = b2-4ac
Δ = -502-4·3·75
Δ = 1600
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1600}=40$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-40}{2*3}=\frac{10}{6} =1+2/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+40}{2*3}=\frac{90}{6} =15 $
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