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10.68(18.625-x)*x=87.50
We move all terms to the left:
10.68(18.625-x)*x-(87.50)=0
We add all the numbers together, and all the variables
10.68(-1x+18.625)*x-(87.5)=0
We add all the numbers together, and all the variables
10.68(-1x+18.625)*x-87.5=0
We multiply parentheses
-10x^2+186.25x-87.5=0
a = -10; b = 186.25; c = -87.5;
Δ = b2-4ac
Δ = 186.252-4·(-10)·(-87.5)
Δ = 31189.0625
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{-(186.25)-\sqrt{31189.0625}}{2*-10}=\frac{-186.25-\sqrt{31189.0625}}{-20} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(186.25)+\sqrt{31189.0625}}{2*-10}=\frac{-186.25+\sqrt{31189.0625}}{-20} $
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