x2=196/225

Solution for x2=196/225 equation:

x2=196/225

We move all terms to the left:

x2-(196/225)=0

We add all the numbers together, and all the variables

x2-(+196/225)=0

We add all the numbers together, and all the variables

x^2-(+196/225)=0

We get rid of parentheses

x^2-196/225=0

We multiply all the terms by the denominator


x^2*225-196=0

Wy multiply elements

225x^2-196=0

a = 225; b = 0; c = -196;
Δ = b2-4ac
Δ = 02-4·225·(-196)
Δ = 176400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{176400}=420$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-420}{2*225}=\frac{-420}{450}
=-14/15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+420}{2*225}=\frac{420}{450}
=14/15
$