131.61/a=a-24.6

Solution for 131.61/a=a-24.6 equation:

131.61/a=a-24.6

We move all terms to the left:

131.61/a-(a-24.6)=0


Domain of the equation: a!=0

a∈R


We get rid of parentheses

131.61/a-a+24.6=0

We multiply all the terms by the denominator


-a*a+(24.6)*a+131.61=0

We multiply parentheses

-a*a+24.6a+131.61=0

Wy multiply elements

-1a^2+24.6a+131.61=0

a = -1; b = 24.6; c = +131.61;
Δ = b2-4ac
Δ = 24.62-4·(-1)·131.61
Δ = 1131.6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24.6)-\sqrt{1131.6}}{2*-1}=\frac{-24.6-\sqrt{1131.6}}{-2}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24.6)+\sqrt{1131.6}}{2*-1}=\frac{-24.6+\sqrt{1131.6}}{-2}
$