x2=9/784

Solution for x2=9/784 equation:

x2=9/784

We move all terms to the left:

x2-(9/784)=0

We add all the numbers together, and all the variables

x2-(+9/784)=0

We add all the numbers together, and all the variables

x^2-(+9/784)=0

We get rid of parentheses

x^2-9/784=0

We multiply all the terms by the denominator


x^2*784-9=0

Wy multiply elements

784x^2-9=0

a = 784; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·784·(-9)
Δ = 28224
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{28224}=168$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-168}{2*784}=\frac{-168}{1568}
=-3/28
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+168}{2*784}=\frac{168}{1568}
=3/28
$