5.2=0.5g(0.982^2)

Solution for 5.2=0.5g(0.982^2) equation:

5.2=0.5g(0.982^2)

We move all terms to the left:

5.2-(0.5g(0.982^2))=0


We calculate terms in parentheses: -(0.5g(0.982^2)), so:

0.5g(0.982^2)

We multiply parentheses

0g^2

We add all the numbers together, and all the variables

g^2

Back to the equation:

-(g^2)


We add all the numbers together, and all the variables

-1g^2+5.2=0

a = -1; b = 0; c = +5.2;
Δ = b2-4ac
Δ = 02-4·(-1)·5.2
Δ = 20.8
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{20.8}}{2*-1}=\frac{0-\sqrt{20.8}}{-2}
=-\frac{\sqrt{}}{-2}
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{20.8}}{2*-1}=\frac{0+\sqrt{20.8}}{-2}
=\frac{\sqrt{}}{-2}
$