x^2=49/676

Solution for x^2=49/676 equation:

x^2=49/676

We move all terms to the left:

x^2-(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
$