x2=92/56

Solution for x2=92/56 equation:

x2=92/56

We move all terms to the left:

x2-(92/56)=0

We add all the numbers together, and all the variables

x2-(+92/56)=0

We add all the numbers together, and all the variables

x^2-(+92/56)=0

We get rid of parentheses

x^2-92/56=0

We multiply all the terms by the denominator


x^2*56-92=0

Wy multiply elements

56x^2-92=0

a = 56; b = 0; c = -92;
Δ = b2-4ac
Δ = 02-4·56·(-92)
Δ = 20608
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:

$\sqrt{\Delta}=\sqrt{20608}=\sqrt{64*322}=\sqrt{64}*\sqrt{322}=8\sqrt{322}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{322}}{2*56}=\frac{0-8\sqrt{322}}{112}
=-\frac{8\sqrt{322}}{112}
=-\frac{\sqrt{322}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{322}}{2*56}=\frac{0+8\sqrt{322}}{112}
=\frac{8\sqrt{322}}{112}
=\frac{\sqrt{322}}{14}
$