x2=8/343

Solution for x2=8/343 equation:

x2=8/343

We move all terms to the left:

x2-(8/343)=0

We add all the numbers together, and all the variables

x2-(+8/343)=0

We add all the numbers together, and all the variables

x^2-(+8/343)=0

We get rid of parentheses

x^2-8/343=0

We multiply all the terms by the denominator


x^2*343-8=0

Wy multiply elements

343x^2-8=0

a = 343; b = 0; c = -8;
Δ = b2-4ac
Δ = 02-4·343·(-8)
Δ = 10976
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{10976}=\sqrt{784*14}=\sqrt{784}*\sqrt{14}=28\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28\sqrt{14}}{2*343}=\frac{0-28\sqrt{14}}{686}
=-\frac{28\sqrt{14}}{686}
=-\frac{2\sqrt{14}}{49}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28\sqrt{14}}{2*343}=\frac{0+28\sqrt{14}}{686}
=\frac{28\sqrt{14}}{686}
=\frac{2\sqrt{14}}{49}
$