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x-1/5x=375
We move all terms to the left:
x-1/5x-(375)=0
Domain of the equation: 5x!=0We multiply all the terms by the denominator
x!=0/5
x!=0
x∈R
x*5x-375*5x-1=0
Wy multiply elements
5x^2-1875x-1=0
a = 5; b = -1875; c = -1;
Δ = b2-4ac
Δ = -18752-4·5·(-1)
Δ = 3515645
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{-(-1875)-\sqrt{3515645}}{2*5}=\frac{1875-\sqrt{3515645}}{10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1875)+\sqrt{3515645}}{2*5}=\frac{1875+\sqrt{3515645}}{10} $
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