Step-by-step explanation:
Hello, and thank you for asking your question on Brainly!
This problem is basically telling is to isolate the variable g. But how are we to do so, when it's being sandwiched inside a variety of numbers and letters? The problem looks harder than it seems. But do not fret!
When you're in a trail in the woods and you get lost, the most logical thing is to do the opposite of where you just went in order to try and reach home. We can use this same analogy for math. We just try and use the opposite operation for every action that the function is being acted on!
Let be the original equation,
[tex]u=\sqrt{Ng+Q^3 }[/tex]
Looks pretty complicated right? We want to isolate the variable g, so let's get rid of this 'roof' over their heads.
To get rid of the square root, we can square both sides by two; this negates the square root, and opens up the right section of the equation.
[tex]u=\sqrt{Ng+Q^3 }[/tex]
[tex]u^2 =(\sqrt{Ng+Q^3 })^2[/tex]
[tex]u^2=Ng+Q^3[/tex]
Now, we have to make sure we get the variable g alone. Let's subtract Q cubed to the other side, we can subtract it over to get rid of it on the right hand side.
[tex]u^2=Ng+Q^3\\-Q^3 ~~~~~ -Q^3[/tex]
[tex]u^2-Q^3=Ng[/tex]
We're almost close! Now, all we have to do to isolate the variable g is to divide the whole equation by N, so the right hand side it cancels out. This is the opposite of N multiplied by g.
[tex]\frac{u^2-Q^3}{N} =g[/tex]
It wasn't so bad now, was it? I hope this helped! g is now isolated and this is the end of the problem.
