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75x^2-50x+8=0
a = 75; b = -50; c = +8;
Δ = b2-4ac
Δ = -502-4·75·8
Δ = 100
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{100}=10$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-10}{2*75}=\frac{40}{150} =4/15 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+10}{2*75}=\frac{60}{150} =2/5 $
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