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If 5√x+12√x=13√x, then x is equal to :

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(1) 25/4 (2) 4 (3)9 (4) 16

Solution:

5√x+12√x=13√x

We know that 52+122=132

[PythagoreanTriplet)

:. √x =2 

⇒ x = 22 =4

Then the option is (2) 4

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