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97.35+x+1/4x=300
We move all terms to the left:
97.35+x+1/4x-(300)=0
Domain of the equation: 4x!=0We add all the numbers together, and all the variables
x!=0/4
x!=0
x∈R
x+1/4x-202.65=0
We multiply all the terms by the denominator
x*4x-(202.65)*4x+1=0
We multiply parentheses
x*4x-810.6x+1=0
Wy multiply elements
4x^2-810.6x+1=0
a = 4; b = -810.6; c = +1;
Δ = b2-4ac
Δ = -810.62-4·4·1
Δ = 657056.36
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{-(-810.6)-\sqrt{657056.36}}{2*4}=\frac{810.6-\sqrt{657056.36}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-810.6)+\sqrt{657056.36}}{2*4}=\frac{810.6+\sqrt{657056.36}}{8} $
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