49a^2/81=a

Solution for 49a^2/81=a equation:

49a^2/81=a

We move all terms to the left:

49a^2/81-(a)=0

We add all the numbers together, and all the variables

49a^2/81-1a=0

We multiply all the terms by the denominator


49a^2-1a*81=0

Wy multiply elements

49a^2-81a=0

a = 49; b = -81; c = 0;
Δ = b2-4ac
Δ = -812-4·49·0
Δ = 6561
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6561}=81$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-81)-81}{2*49}=\frac{0}{98}
=0
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-81)+81}{2*49}=\frac{162}{98}
=1+32/49
$