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thirty times the square of a non-zero number is equal to eight times the number. what is the number?

Verified Answer :

caylus

Hello,

let x the unknowed number,

30x²=8x
==> 30x=8 (for x ≠0)
==>x=8/30
==>x=4/15

Confusion dans la traduction mentale désolé.

AL2006

You said that        30 x²  =  8 x

I can divide
each side by 'x':     30 x = 8
 
Then divide
each side by 30:        x  =  8 / 30  =  4/15 .

Check to see if it works:

Does    30 (4/15)²  =  8 (4/15)  ?

Well, (4/15)² = 16/225

       30 · 16/225 = 480/225  =  32/15
and
         8 · 4/15  =  32/15                    yay !