x2=184/35

Solution for x2=184/35 equation:

x2=184/35

We move all terms to the left:

x2-(184/35)=0

We add all the numbers together, and all the variables

x2-(+184/35)=0

We add all the numbers together, and all the variables

x^2-(+184/35)=0

We get rid of parentheses

x^2-184/35=0

We multiply all the terms by the denominator


x^2*35-184=0

Wy multiply elements

35x^2-184=0

a = 35; b = 0; c = -184;
Δ = b2-4ac
Δ = 02-4·35·(-184)
Δ = 25760
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:

$\sqrt{\Delta}=\sqrt{25760}=\sqrt{16*1610}=\sqrt{16}*\sqrt{1610}=4\sqrt{1610}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{1610}}{2*35}=\frac{0-4\sqrt{1610}}{70}
=-\frac{4\sqrt{1610}}{70}
=-\frac{2\sqrt{1610}}{35}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{1610}}{2*35}=\frac{0+4\sqrt{1610}}{70}
=\frac{4\sqrt{1610}}{70}
=\frac{2\sqrt{1610}}{35}
$