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how do we define a geometric mean?
ANSWER CHOICES: 1. a+b/2 2. a-b/2 3. aqr root a+b 4. sqr root ab
with the formula a/x=x/b
i spose a formula works for 2 values ... what is x, when you use this formula?
a? Im not to sure how to answer this question.
clear the fractions ...
multiply both sides x, and then by b ...
then isolate x
a times b is simply ab
x * a/x = x* x/b a = x^2 /b a*b = x^2*b/b ab = x^2
we could stop there and deduce, since only one option has no addition or subtraction in it ...
How do i deduce it?
do we have an a+b in our process so far? an a-b?
if you cant deduce it yet, finish the process ab = x^2, how do we undo a ^2 ?
I honestly dont know..
what undoes squaring? if I take a number like 7 and square it to get 49, how do I go backwards and undo that?
divide it by 7 again? so i do x divided by 2? or what?
to solve a square, you have to determine its root.
the square root of x^2 is x and the fundamental principle of equations is ... what you do to one side you do to the other
ahhh okay. and what is the next part?
selecting the answer that matches our outcome ...
what amistre64 is saying is that you apply the square root to both sides |dw:1444011943181:dw|
the square root and squaring will cancel out because they are opposites (kinda like how addition and subtraction are opposites) |dw:1444011981590:dw|
in words, the geometric mean of a set of n, numbers, is the nth root of thier product
and what is the next step after that?
the question is practically done at this point (look closely at my last drawing)
Nevermind, i saw it thank you so much!