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9/7x+7-3/x+1+3/7=0
Domain of the equation: 7x!=0
x!=0/7
x!=0
x∈R
Domain of the equation: x!=0We add all the numbers together, and all the variables
x∈R
9/7x-3/x+8+3/7=0
We calculate fractions
9x/343x^2+(-1029x)/343x^2+3x/343x^2+8=0
We multiply all the terms by the denominator
9x+(-1029x)+3x+8*343x^2=0
We add all the numbers together, and all the variables
12x+(-1029x)+8*343x^2=0
Wy multiply elements
2744x^2+12x+(-1029x)=0
We get rid of parentheses
2744x^2+12x-1029x=0
We add all the numbers together, and all the variables
2744x^2-1017x=0
a = 2744; b = -1017; c = 0;
Δ = b2-4ac
Δ = -10172-4·2744·0
Δ = 1034289
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1034289}=1017$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1017)-1017}{2*2744}=\frac{0}{5488} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1017)+1017}{2*2744}=\frac{2034}{5488} =1017/2744 $
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