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/x-2=4-x
We move all terms to the left:
/x-2-(4-x)=0
Domain of the equation: x!=0We add all the numbers together, and all the variables
x∈R
/x-(-1x+4)-2=0
We get rid of parentheses
/x+1x-4-2=0
We multiply all the terms by the denominator
1x*x-4*x-2*x+=0
We add all the numbers together, and all the variables
-6x+1x*x=0
Wy multiply elements
x^2-6x=0
a = 1; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·1·0
Δ = 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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{36}=6$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*1}=\frac{0}{2} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*1}=\frac{12}{2} =6 $
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