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x^2-170x+7000=0
a = 1; b = -170; c = +7000;
Δ = b2-4ac
Δ = -1702-4·1·7000
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$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-170)-30}{2*1}=\frac{140}{2} =70 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-170)+30}{2*1}=\frac{200}{2} =100 $
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