x2=64/196

Solution for x2=64/196 equation:

x2=64/196

We move all terms to the left:

x2-(64/196)=0

We add all the numbers together, and all the variables

x2-(+64/196)=0

We add all the numbers together, and all the variables

x^2-(+64/196)=0

We get rid of parentheses

x^2-64/196=0

We multiply all the terms by the denominator


x^2*196-64=0

Wy multiply elements

196x^2-64=0

a = 196; b = 0; c = -64;
Δ = b2-4ac
Δ = 02-4·196·(-64)
Δ = 50176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{50176}=224$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-224}{2*196}=\frac{-224}{392}
=-4/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+224}{2*196}=\frac{224}{392}
=4/7
$