1a/a2=11

Solution for 1a/a2=11 equation:

1a/a2=11

We move all terms to the left:

1a/a2-(11)=0


Domain of the equation: a2!=0

a^2!=0/

a^2!=√0

a!=0

a∈R


We multiply all the terms by the denominator


1a-11*a2=0

We add all the numbers together, and all the variables

-11a^2+a=0

a = -11; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-11)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-11}=\frac{-2}{-22}
=1/11
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-11}=\frac{0}{-22}
=0
$