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5x^2-70x+200=0
a = 5; b = -70; c = +200;
Δ = b2-4ac
Δ = -702-4·5·200
Δ = 900
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{900}=30$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-30}{2*5}=\frac{40}{10} =4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+30}{2*5}=\frac{100}{10} =10 $
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