Question

If the expression f^2+g^4-2f+1 is rewritten in the form a^2+(g^2)^2, what must be the value of a?

Answer 1

Answer: √(f^2 - 2f + 1) = a

Explanation:

We have that:

f^2+g^4-2f+1 = a^2+(g^2)^2

And we want to find the value of a, so we should isolate it.

f^2 + g^4 - 2f + 1 = a^2 + g^(2*2) = a^2 + g^4

where i used that (x^y)^z = x^(y*z)

We can remove the term g^4 in both sides of the equation and get:

f^2 - 2f + 1 = a^2

now we can apply the square rooth to both sides and get

√(f^2 - 2f + 1) = a

So we just found the value of a.