63/a=7*a

Solution for 63/a=7*a equation:

63/a=7a

We move all terms to the left:

63/a-(7a)=0


Domain of the equation: a!=0

a∈R


We add all the numbers together, and all the variables

-7a+63/a=0

We multiply all the terms by the denominator


-7a*a+63=0

Wy multiply elements

-7a^2+63=0

a = -7; b = 0; c = +63;
Δ = b2-4ac
Δ = 02-4·(-7)·63
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-42}{2*-7}=\frac{-42}{-14}
=+3
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+42}{2*-7}=\frac{42}{-14}
=-3
$