x2=49/576

Solution for x2=49/576 equation:

x2=49/576

We move all terms to the left:

x2-(49/576)=0

We add all the numbers together, and all the variables

x2-(+49/576)=0

We add all the numbers together, and all the variables

x^2-(+49/576)=0

We get rid of parentheses

x^2-49/576=0

We multiply all the terms by the denominator


x^2*576-49=0

Wy multiply elements

576x^2-49=0

a = 576; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·576·(-49)
Δ = 112896
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{112896}=336$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-336}{2*576}=\frac{-336}{1152}
=-7/24
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+336}{2*576}=\frac{336}{1152}
=7/24
$