1/2a=11a=

Solution for 1/2a=11a= equation:

1/2a=11a=

We move all terms to the left:

1/2a-(11a)=0


Domain of the equation: 2a!=0

a!=0/2

a!=0

a∈R


We add all the numbers together, and all the variables

-11a+1/2a=0

We multiply all the terms by the denominator


-11a*2a+1=0

Wy multiply elements

-22a^2+1=0

a = -22; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-22)·1
Δ = 88
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{88}=\sqrt{4*22}=\sqrt{4}*\sqrt{22}=2\sqrt{22}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{22}}{2*-22}=\frac{0-2\sqrt{22}}{-44}
=-\frac{2\sqrt{22}}{-44}
=-\frac{\sqrt{22}}{-22}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{22}}{2*-22}=\frac{0+2\sqrt{22}}{-44}
=\frac{2\sqrt{22}}{-44}
=\frac{\sqrt{22}}{-22}
$