x^2=100/196

Solution for x^2=100/196 equation:

x^2=100/196

We move all terms to the left:

x^2-(100/196)=0

We add all the numbers together, and all the variables

x^2-(+100/196)=0

We get rid of parentheses

x^2-100/196=0

We multiply all the terms by the denominator


x^2*196-100=0

Wy multiply elements

196x^2-100=0

a = 196; b = 0; c = -100;
Δ = b2-4ac
Δ = 02-4·196·(-100)
Δ = 78400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{78400}=280$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-280}{2*196}=\frac{-280}{392}
=-5/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+280}{2*196}=\frac{280}{392}
=5/7
$