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2a/a=12a
We move all terms to the left:
2a/a-(12a)=0
Domain of the equation: a!=0We add all the numbers together, and all the variables
a∈R
-12a+2a/a=0
We multiply all the terms by the denominator
-12a*a+2a=0
We add all the numbers together, and all the variables
2a-12a*a=0
Wy multiply elements
-12a^2+2a=0
a = -12; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-12)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{4}=2$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*-12}=\frac{-4}{-24} =1/6 $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-12}=\frac{0}{-24} =0 $
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