4.6=4.6x2

Solution for 4.6=4.6x2 equation:

4.6=4.6x^2

We move all terms to the left:

4.6-(4.6x^2)=0

We get rid of parentheses

-4.6x^2+4.6=0

a = -4.6; b = 0; c = +4.6;
Δ = b2-4ac
Δ = 02-4·(-4.6)·4.6
Δ = 84.64
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{84.64}}{2*-4.6}=\frac{0-\sqrt{84.64}}{-9.2}
=-\frac{\sqrt{}}{-9.2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{84.64}}{2*-4.6}=\frac{0+\sqrt{84.64}}{-9.2}
=\frac{\sqrt{}}{-9.2}
$