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X+(12/100)X=142
We move all terms to the left:
X+(12/100)X-(142)=0
Domain of the equation: 100)X!=0We add all the numbers together, and all the variables
X!=0/1
X!=0
X∈R
X+(+12/100)X-142=0
We multiply parentheses
12X^2+X-142=0
a = 12; b = 1; c = -142;
Δ = b2-4ac
Δ = 12-4·12·(-142)
Δ = 6817
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{-(1)-\sqrt{6817}}{2*12}=\frac{-1-\sqrt{6817}}{24} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{6817}}{2*12}=\frac{-1+\sqrt{6817}}{24} $
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