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x^2+5x/18=84
We move all terms to the left:
x^2+5x/18-(84)=0
We multiply all the terms by the denominator
x^2*18+5x-84*18=0
We add all the numbers together, and all the variables
x^2*18+5x-1512=0
Wy multiply elements
18x^2+5x-1512=0
a = 18; b = 5; c = -1512;
Δ = b2-4ac
Δ = 52-4·18·(-1512)
Δ = 108889
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{-(5)-\sqrt{108889}}{2*18}=\frac{-5-\sqrt{108889}}{36} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{108889}}{2*18}=\frac{-5+\sqrt{108889}}{36} $
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