-9a+36/a=-5

Solution for -9a+36/a=-5 equation:

-9a+36/a=-5

We move all terms to the left:

-9a+36/a-(-5)=0


Domain of the equation: a!=0

a∈R


We add all the numbers together, and all the variables

-9a+36/a+5=0

We multiply all the terms by the denominator


-9a*a+5*a+36=0

We add all the numbers together, and all the variables

5a-9a*a+36=0

Wy multiply elements

-9a^2+5a+36=0

a = -9; b = 5; c = +36;
Δ = b2-4ac
Δ = 52-4·(-9)·36
Δ = 1321
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{-(5)-\sqrt{1321}}{2*-9}=\frac{-5-\sqrt{1321}}{-18}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{1321}}{2*-9}=\frac{-5+\sqrt{1321}}{-18}
$