x2=25/484

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Solution for x2=25/484 equation:



x2=25/484
We move all terms to the left:
x2-(25/484)=0
We add all the numbers together, and all the variables
x2-(+25/484)=0
We add all the numbers together, and all the variables
x^2-(+25/484)=0
We get rid of parentheses
x^2-25/484=0
We multiply all the terms by the denominator
x^2*484-25=0
Wy multiply elements
484x^2-25=0
a = 484; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·484·(-25)
Δ = 48400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{48400}=220$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-220}{2*484}=\frac{-220}{968} =-5/22 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+220}{2*484}=\frac{220}{968} =5/22 $

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