If-x-y-2904-Find-y-

Question Number 184251 by Shrinava last updated on 04/Jan/23

If x \sqrt{y} = 2904

Find : y = ?

Answered by SEKRET last updated on 04/Jan/23

x \cdot \sqrt{y} = 2^{3} \cdot 3 \cdot 11^{2}

{\begin{cases} x = 2 \\ \sqrt{y} = 2^{2} \cdot 11^{2} \cdot 3 \end{cases} {\begin{cases} x = 2^{2} \\ \sqrt{y} = 2 \cdot 3 \cdot 11^{2} \end{cases} {\begin{cases} x = 2^{3} \\ \sqrt{y} = 3 \cdot 11^{2} \end{cases}

{\begin{cases} x = 2^{2} \cdot 3 \cdot 11^{2} \\ \sqrt{y} = 2 \end{cases} {\begin{cases} x = 2 \cdot 3 \cdot 11^{2} \\ \sqrt{y} = 2^{2} \end{cases} {\begin{cases} x = 3 \cdot 11^{2} \\ \sqrt{y} = 2^{3} \end{cases}

{\begin{cases} x = 3 \\ \sqrt{y} = 2^{3} \cdot 11^{2} \end{cases} {\begin{cases} x = 11 \\ \sqrt{y} = 2^{3} \cdot 11 \cdot 3 \end{cases} {\begin{cases} x = 11^{2} \\ \sqrt{y} = 2^{3} \cdot 3 \end{cases}

{\begin{cases} x = 2^{3} \cdot 11^{2} \\ \sqrt{y} = 3 \end{cases} {\begin{cases} x = 2^{3} \cdot 11 \cdot 3 \\ \sqrt{y} = 11 \end{cases} {\begin{cases} x = 2^{3} \cdot 3 \\ \sqrt{y} = 11^{2} \end{cases}

{\begin{cases} x = 1 \\ \sqrt{y} = 2904 \end{cases} {\begin{cases} x = 2904 \\ \sqrt{y} = 1 \end{cases}

{\begin{cases} x = 2 \cdot 3 \\ \sqrt{y} = 2^{2} \cdot 11^{2} \end{cases} {\begin{cases} x = 2^{2} \cdot 3 \\ \sqrt{y} = 2 \cdot 11^{2} \end{cases} {\begin{cases} x = 2^{3} \cdot 3 \\ \sqrt{y} = 11^{2} \end{cases}

{\begin{cases} x = 2^{2} \cdot 11^{2} \\ \sqrt{y} = 2 \cdot 3 \end{cases} {\begin{cases} x = 2 \cdot 11^{22} \\ \sqrt{y} = 2^{2} \cdot 3 \end{cases} {\begin{cases} x = 11^{2} \\ \sqrt{y} = 2^{3} \cdot 3 \end{cases}

\dots \dots . .

\dots \dots \dots \dots .

Answered by SEKRET last updated on 04/Jan/23

\sqrt{y} = \frac{2904}{x} x \neq 0

y = \frac{2904^{2}}{x^{2}}

Answered by mr W last updated on 04/Jan/23

f o r x, y \in Z, t h e r e a r e 24 s o l u t i o n s .

y = {(\frac{2^{3} \times 3 \times 11^{2}}{x})}^{2}

Answered by Ml last updated on 04/Jan/23

x = 2904

y = 1

Answered by Rasheed.Sindhi last updated on 04/Jan/23

x \sqrt{y} = 2^{3} \cdot 3 \cdot 11^{2}

y i s p e r f e c t s q u a r e & d i v i s o r o f 2904

y = 1, 2^{2}, 11^{2}, {(2 \times 11)}^{2}

= 1, 4, 121, 484

Commented by mr W last updated on 04/Jan/23

p l e a s e r e c h e c k s i r!

i t h i n k y m u s t n o t b e d i v i s o r o f 2904 .

\sqrt{y} i s d i v i s o r o f 2904 . s i n c e 2904 h a s

24 d i v i s o r s, \sqrt{y} m a y h a v e 24 p o s s i b l e

v a l u e s, t h e r e f o r e y m a y a l s o h a v e

24 p o s s i b l e v a l u e s, n o t o n l y 5 v a l u e s .

f o r e x a m p l e y = 2904^{2} i s a l s o a v a l i d

s o l u t i o n .

Commented by Rasheed.Sindhi last updated on 04/Jan/23

{Y o u}^{'} r e r i g h t s i r! {I t}^{'} s m y m i s t a k e!

Answered by Frix last updated on 04/Jan/23

x \sqrt{y} = 2904

\sqrt{y} = \frac{2904}{x}

y = {(\frac{2904}{x})}^{2}

I {don}^{'} t get all the complicated answers .

{It}^{'} s like

a + \frac{b}{2} = 15

Find : b = ?

What am I missing ?

Commented by Frix last updated on 04/Jan/23

People {don}^{'} t answer given questions but

instead adding something new to questions

before solving them ?! ?

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