x2=144/5

Solution for x2=144/5 equation:

x2=144/5

We move all terms to the left:

x2-(144/5)=0

We add all the numbers together, and all the variables

x2-(+144/5)=0

We add all the numbers together, and all the variables

x^2-(+144/5)=0

We get rid of parentheses

x^2-144/5=0

We multiply all the terms by the denominator


x^2*5-144=0

Wy multiply elements

5x^2-144=0

a = 5; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·5·(-144)
Δ = 2880
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:

$\sqrt{\Delta}=\sqrt{2880}=\sqrt{576*5}=\sqrt{576}*\sqrt{5}=24\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{5}}{2*5}=\frac{0-24\sqrt{5}}{10}
=-\frac{24\sqrt{5}}{10}
=-\frac{12\sqrt{5}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{5}}{2*5}=\frac{0+24\sqrt{5}}{10}
=\frac{24\sqrt{5}}{10}
=\frac{12\sqrt{5}}{5}
$