a^2/a=4+5

Solution for a^2/a=4+5 equation:

a^2/a=4+5

We move all terms to the left:

a^2/a-(4+5)=0


Domain of the equation: a!=0

a∈R


We add all the numbers together, and all the variables

a^2/a-9=0

We multiply all the terms by the denominator


a^2-9*a=0

We add all the numbers together, and all the variables

a^2-9a=0

a = 1; b = -9; c = 0;
Δ = b2-4ac
Δ = -92-4·1·0
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-9}{2*1}=\frac{0}{2}
=0
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+9}{2*1}=\frac{18}{2}
=9
$