Question

8. If 48√x+32√x=320 then find the value of x
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Answer 1

Answer :

16

Given :-

48√x+32√x=320

To find :-

Find the value of x ?

Solution :-

Given that :

48√x+32√x=320

=> (48+32)√x = 320

=> 80√x = 320

=> √x = 320/80

=> √x = 4

On squaring both sides then

=>[√x]² = 4²

=> x = 16

Therefore, x = 16

Answer:-

The value of x for the given problem is 16

Check:-

If x = 16 then

LHS =48√x+32√x

=> 48√16+32√16

=> 48×4 +32×4

=> 192+128

=>320

=> RHS

=> LHS = RHS is true for x = 16

Verified the given relations in the given problem