2. second is harder

Algebra Level pending

IF x is positive,

( x y + x y + . . . + x y ) (x^y + x^y + ... +x^y) has 100 terms and is equal to x y + 1 x^{y+1}

What is x?

Hint : Do not try do find out the value of y.


The answer is 100.

Dan Tsaranou by Dan Tsaranou , 21, France

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1 solution

Md Omur Faruque
Oct 4, 2015

100 x y = x y + 1 100x^y=x^{y+1} ⇒ 100 x y = x y × x \Rightarrow 100x^y=x^y\times x ⇒ 100 = x [As, x ≠ 0 ] \Rightarrow 100=x \color{#0C6AC7} {\text{ [As, }x\neq 0]} ∴ x = 100 \therefore x=\color{#69047E} {\boxed {100}}

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