x2=93/81

Solution for x2=93/81 equation:

x2=93/81

We move all terms to the left:

x2-(93/81)=0

We add all the numbers together, and all the variables

x2-(+93/81)=0

We add all the numbers together, and all the variables

x^2-(+93/81)=0

We get rid of parentheses

x^2-93/81=0

We multiply all the terms by the denominator


x^2*81-93=0

Wy multiply elements

81x^2-93=0

a = 81; b = 0; c = -93;
Δ = b2-4ac
Δ = 02-4·81·(-93)
Δ = 30132
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{30132}=\sqrt{324*93}=\sqrt{324}*\sqrt{93}=18\sqrt{93}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18\sqrt{93}}{2*81}=\frac{0-18\sqrt{93}}{162}
=-\frac{18\sqrt{93}}{162}
=-\frac{\sqrt{93}}{9}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18\sqrt{93}}{2*81}=\frac{0+18\sqrt{93}}{162}
=\frac{18\sqrt{93}}{162}
=\frac{\sqrt{93}}{9}
$