x2=49/289

Solution for x2=49/289 equation:

x2=49/289

We move all terms to the left:

x2-(49/289)=0

We add all the numbers together, and all the variables

x2-(+49/289)=0

We add all the numbers together, and all the variables

x^2-(+49/289)=0

We get rid of parentheses

x^2-49/289=0

We multiply all the terms by the denominator


x^2*289-49=0

Wy multiply elements

289x^2-49=0

a = 289; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·289·(-49)
Δ = 56644
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{56644}=238$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-238}{2*289}=\frac{-238}{578}
=-7/17
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+238}{2*289}=\frac{238}{578}
=7/17
$