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175.400=6400x-18x^2-400
We move all terms to the left:
175.400-(6400x-18x^2-400)=0
We add all the numbers together, and all the variables
-(6400x-18x^2-400)+175.4=0
We get rid of parentheses
18x^2-6400x+400+175.4=0
We add all the numbers together, and all the variables
18x^2-6400x+575.4=0
a = 18; b = -6400; c = +575.4;
Δ = b2-4ac
Δ = -64002-4·18·575.4
Δ = 40918571.2
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{-(-6400)-\sqrt{40918571.2}}{2*18}=\frac{6400-\sqrt{40918571.2}}{36} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6400)+\sqrt{40918571.2}}{2*18}=\frac{6400+\sqrt{40918571.2}}{36} $
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