x^2=196/9

Solution for x^2=196/9 equation:

x^2=196/9

We move all terms to the left:

x^2-(196/9)=0

We add all the numbers together, and all the variables

x^2-(+196/9)=0

We get rid of parentheses

x^2-196/9=0

We multiply all the terms by the denominator


x^2*9-196=0

Wy multiply elements

9x^2-196=0

a = 9; b = 0; c = -196;
Δ = b2-4ac
Δ = 02-4·9·(-196)
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84}{2*9}=\frac{-84}{18}
=-4+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84}{2*9}=\frac{84}{18}
=4+2/3
$