1.618(x^2)=10

Solution for 1.618(x^2)=10 equation:

1.618(x^2)=10

We move all terms to the left:

1.618(x^2)-(10)=0

a = 1.618; b = 0; c = -10;
Δ = b2-4ac
Δ = 02-4·1.618·(-10)
Δ = 64.72
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{64.72}}{2*1.618}=\frac{0-\sqrt{64.72}}{3.236}
=-\frac{\sqrt{}}{3.236}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{64.72}}{2*1.618}=\frac{0+\sqrt{64.72}}{3.236}
=\frac{\sqrt{}}{3.236}
$