x^2=25/196

Solution for x^2=25/196 equation:

x^2=25/196

We move all terms to the left:

x^2-(25/196)=0

We add all the numbers together, and all the variables

x^2-(+25/196)=0

We get rid of parentheses

x^2-25/196=0

We multiply all the terms by the denominator


x^2*196-25=0

Wy multiply elements

196x^2-25=0

a = 196; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·196·(-25)
Δ = 19600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{19600}=140$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-140}{2*196}=\frac{-140}{392}
=-5/14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+140}{2*196}=\frac{140}{392}
=5/14
$