Question

math help ss below

Answer 1

@AZ

Answer 2

@ihelpuuhelpme

Answer 3

interesting question

the product of two nonzero numbers
is equal to
twice the sum

You have the first half correct a*b
But the second half is wrong

What is twice the sum?

You have (a+b)/2
That would be half of the sum

Answer 4

2a+2b=ab?

Answer 5

yes but let's just keep it as

ab = 2(a+b)

Answer 6

So now the question wants us to find the sum of their reciprocals

The reciprocal of a is 1/a
The reciprocal of b is 1/b

1/a + 1/b would be the sum

I saw you made some very nice useful tutorials on adding fractions :))

Can you make those two fractions have a similar denominator and add them together?

Answer 7

oh so
(a+b)/ab=a+b?

Answer 8

I'm not sure where you got the `= a+b` part from

Answer 9

but

1/a + 1/b = (a+b)/ab

that much is definitely correct

Answer 10

well i thought
1/a+1/b=sum

Answer 11

i probably misread it?

Answer 12

no, the original question says that

the product of two numbers equals to twice the sum

and we got this expression
a * b = 2(a+b)

You just have to store this in the back of your head for now but we do come back to use this

The question then asks you, what is the sum of the reciprocals

and you told me that
1/a + 1/b (which is the sum of the reciprocals) can be rewritten as (a+b)/ab

Do you understand/agree so far?

Answer 13

yes. what should the other side be?

Answer 14

so that's what we're trying to find

but remember that expression we stored in the back of our minds?

take a look at it and re-arrange it

ab = 2(a+b)

what do you get if you divide ab on both sides
and then multiply by 1/2 on both sides

Answer 15

so 1/2= (a+b)/ab?

Answer 16

Bingo

and so what is the sum of their reciprocals

if 1/a + 1/b = (a+b)/ab = ??

you just found the value!

Answer 17

1/2!

Answer 18

Ta-da!! Well done :D

Answer 19

thanks :)

Answer 20

You're welcome :)