x2=144/49

Solution for x2=144/49 equation:

x2=144/49

We move all terms to the left:

x2-(144/49)=0

We add all the numbers together, and all the variables

x2-(+144/49)=0

We add all the numbers together, and all the variables

x^2-(+144/49)=0

We get rid of parentheses

x^2-144/49=0

We multiply all the terms by the denominator


x^2*49-144=0

Wy multiply elements

49x^2-144=0

a = 49; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·49·(-144)
Δ = 28224
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{28224}=168$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-168}{2*49}=\frac{-168}{98}
=-1+5/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+168}{2*49}=\frac{168}{98}
=1+5/7
$