100/121=a2

Solution for 100/121=a2 equation:

100/121=a2

We move all terms to the left:

100/121-(a2)=0

We add all the numbers together, and all the variables

-1a^2+100/121=0

We multiply all the terms by the denominator


-1a^2*121+100=0

Wy multiply elements

-121a^2+100=0

a = -121; b = 0; c = +100;
Δ = b2-4ac
Δ = 02-4·(-121)·100
Δ = 48400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{48400}=220$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-220}{2*-121}=\frac{-220}{-242}
=10/11
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+220}{2*-121}=\frac{220}{-242}
=-10/11
$