x2=81/17

Solution for x2=81/17 equation:

x2=81/17

We move all terms to the left:

x2-(81/17)=0

We add all the numbers together, and all the variables

x2-(+81/17)=0

We add all the numbers together, and all the variables

x^2-(+81/17)=0

We get rid of parentheses

x^2-81/17=0

We multiply all the terms by the denominator


x^2*17-81=0

Wy multiply elements

17x^2-81=0

a = 17; b = 0; c = -81;
Δ = b2-4ac
Δ = 02-4·17·(-81)
Δ = 5508
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:

$\sqrt{\Delta}=\sqrt{5508}=\sqrt{324*17}=\sqrt{324}*\sqrt{17}=18\sqrt{17}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18\sqrt{17}}{2*17}=\frac{0-18\sqrt{17}}{34}
=-\frac{18\sqrt{17}}{34}
=-\frac{9\sqrt{17}}{17}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18\sqrt{17}}{2*17}=\frac{0+18\sqrt{17}}{34}
=\frac{18\sqrt{17}}{34}
=\frac{9\sqrt{17}}{17}
$