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57.95x^2-200x=-57.95
We move all terms to the left:
57.95x^2-200x-(-57.95)=0
We add all the numbers together, and all the variables
57.95x^2-200x+57.95=0
a = 57.95; b = -200; c = +57.95;
Δ = b2-4ac
Δ = -2002-4·57.95·57.95
Δ = 26567.19
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{-(-200)-\sqrt{26567.19}}{2*57.95}=\frac{200-\sqrt{26567.19}}{115.9} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-200)+\sqrt{26567.19}}{2*57.95}=\frac{200+\sqrt{26567.19}}{115.9} $
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