x2=144/5

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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} $

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