1/2g=8g=

Solution for 1/2g=8g= equation:

1/2g=8g=

We move all terms to the left:

1/2g-(8g)=0


Domain of the equation: 2g!=0

g!=0/2

g!=0

g∈R


We add all the numbers together, and all the variables

-8g+1/2g=0

We multiply all the terms by the denominator


-8g*2g+1=0

Wy multiply elements

-16g^2+1=0

a = -16; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-16)·1
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8}{2*-16}=\frac{-8}{-32}
=1/4
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8}{2*-16}=\frac{8}{-32}
=-1/4
$