(1/6)x=2.5850

Solution for (1/6)x=2.5850 equation:

(1/6)x=2.5850

We move all terms to the left:

(1/6)x-(2.5850)=0


Domain of the equation: 6)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+1/6)x-(2.585)=0

We add all the numbers together, and all the variables

(+1/6)x-2.585=0

We multiply parentheses

x^2-2.585=0

a = 1; b = 0; c = -2.585;
Δ = b2-4ac
Δ = 02-4·1·(-2.585)
Δ = 10.34
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{10.34}}{2*1}=\frac{0-\sqrt{10.34}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{10.34}}{2*1}=\frac{0+\sqrt{10.34}}{2}
=\frac{\sqrt{}}{2}
$