An algebra problem by محمد جمال

Algebra Level 1

If 4 x = 3 y 3 , y 4 = 16 4x=3y^3 , y^4 = 16 , what is the value of x y 2 xy^2 ?

x , y x, y are positive real numbers.

48 10 24 16

محمد جمال by محمد جمال , 35, Egypt

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2 solutions

محمد جمال
Aug 13, 2015

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Moderator note:

At what point did we use the assumption that x , y x, y are positive reals?

Perhaps at y 4 = 16 ⟹ y = 2 y^4=16~~\Longrightarrow~~y=2 , since solutions are 2 , - 2 , 2 i , - 2 i 2,~\text-2,~2i,~\text-2i .

Micah Wood - 5 years, 10 months ago
Nairo Brilhante
Aug 21, 2015

3 . 2^3=24 -----2^4= 16-------16+24= 40

40 - 16= 24.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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