x2=49/676

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Solution for x2=49/676 equation:



x2=49/676
We move all terms to the left:
x2-(49/676)=0
We add all the numbers together, and all the variables
x2-(+49/676)=0
We add all the numbers together, and all the variables
x^2-(+49/676)=0
We get rid of parentheses
x^2-49/676=0
We multiply all the terms by the denominator
x^2*676-49=0
Wy multiply elements
676x^2-49=0
a = 676; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·676·(-49)
Δ = 132496
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{132496}=364$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-364}{2*676}=\frac{-364}{1352} =-7/26 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+364}{2*676}=\frac{364}{1352} =7/26 $

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