x2=49/225

Solution for x2=49/225 equation:

x2=49/225

We move all terms to the left:

x2-(49/225)=0

We add all the numbers together, and all the variables

x2-(+49/225)=0

We add all the numbers together, and all the variables

x^2-(+49/225)=0

We get rid of parentheses

x^2-49/225=0

We multiply all the terms by the denominator


x^2*225-49=0

Wy multiply elements

225x^2-49=0

a = 225; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·225·(-49)
Δ = 44100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{44100}=210$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-210}{2*225}=\frac{-210}{450}
=-7/15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+210}{2*225}=\frac{210}{450}
=7/15
$