5.84x^2=x

Solution for 5.84x^2=x equation:

5.84x^2=x

We move all terms to the left:

5.84x^2-(x)=0

We add all the numbers together, and all the variables

5.84x^2-1x=0

a = 5.84; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·5.84·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*5.84}=\frac{0}{11.68}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*5.84}=\frac{2}{11.68}
=2/11.68
$