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The product of two numbers is 1296. If o...

The product of two numbers is 1296. If one number is 16 ties the other, find the number.

Text Solution

Verified by Experts

Let the numbers are `x` and `16x`.
Their product is `1296`.
`:. x*16x = 1296`
`=>16x^2 = 1296`
`=>x^2 = 81`
`=> x= +-9`
Second number `= 16**(+-9) = +-144`
So, the numbers are `9 and 144` or `-9 and -144`.
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