x^2=25/784

Solution for x^2=25/784 equation:

x^2=25/784

We move all terms to the left:

x^2-(25/784)=0

We add all the numbers together, and all the variables

x^2-(+25/784)=0

We get rid of parentheses

x^2-25/784=0

We multiply all the terms by the denominator


x^2*784-25=0

Wy multiply elements

784x^2-25=0

a = 784; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·784·(-25)
Δ = 78400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{78400}=280$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-280}{2*784}=\frac{-280}{1568}
=-5/28
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+280}{2*784}=\frac{280}{1568}
=5/28
$