46b^2=16

Solution for 46b^2=16 equation:

46b^2=16

We move all terms to the left:

46b^2-(16)=0

a = 46; b = 0; c = -16;
Δ = b2-4ac
Δ = 02-4·46·(-16)
Δ = 2944
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2944}=\sqrt{64*46}=\sqrt{64}*\sqrt{46}=8\sqrt{46}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{46}}{2*46}=\frac{0-8\sqrt{46}}{92}
=-\frac{8\sqrt{46}}{92}
=-\frac{2\sqrt{46}}{23}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{46}}{2*46}=\frac{0+8\sqrt{46}}{92}
=\frac{8\sqrt{46}}{92}
=\frac{2\sqrt{46}}{23}
$