18=x(113.4)x=0.159

Solution for 18=x(113.4)x=0.159 equation:

18=x(113.4)x=0.159

We move all terms to the left:

18-(x(113.4)x)=0


We calculate terms in parentheses: -(x(113.4)x), so:

x(113.4)x

We multiply parentheses

113.4x^2

Back to the equation:

-(113.4x^2)


We get rid of parentheses

-113.4x^2+18=0

a = -113.4; b = 0; c = +18;
Δ = b2-4ac
Δ = 02-4·(-113.4)·18
Δ = 8164.8
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{8164.8}}{2*-113.4}=\frac{0-\sqrt{8164.8}}{-226.8}
=-\frac{\sqrt{}}{-226.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{8164.8}}{2*-113.4}=\frac{0+\sqrt{8164.8}}{-226.8}
=\frac{\sqrt{}}{-226.8}
$