x^2=121/196

Solution for x^2=121/196 equation:

x^2=121/196

We move all terms to the left:

x^2-(121/196)=0

We add all the numbers together, and all the variables

x^2-(+121/196)=0

We get rid of parentheses

x^2-121/196=0

We multiply all the terms by the denominator


x^2*196-121=0

Wy multiply elements

196x^2-121=0

a = 196; b = 0; c = -121;
Δ = b2-4ac
Δ = 02-4·196·(-121)
Δ = 94864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{94864}=308$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-308}{2*196}=\frac{-308}{392}
=-11/14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+308}{2*196}=\frac{308}{392}
=11/14
$