x^2=16/196

Solution for x^2=16/196 equation:

x^2=16/196

We move all terms to the left:

x^2-(16/196)=0

We add all the numbers together, and all the variables

x^2-(+16/196)=0

We get rid of parentheses

x^2-16/196=0

We multiply all the terms by the denominator


x^2*196-16=0

Wy multiply elements

196x^2-16=0

a = 196; b = 0; c = -16;
Δ = b2-4ac
Δ = 02-4·196·(-16)
Δ = 12544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12544}=112$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-112}{2*196}=\frac{-112}{392}
=-2/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+112}{2*196}=\frac{112}{392}
=2/7
$