x2=100/121

Solution for x2=100/121 equation:

x2=100/121

We move all terms to the left:

x2-(100/121)=0

We add all the numbers together, and all the variables

x2-(+100/121)=0

We add all the numbers together, and all the variables

x^2-(+100/121)=0

We get rid of parentheses

x^2-100/121=0

We multiply all the terms by the denominator


x^2*121-100=0

Wy multiply elements

121x^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:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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