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Probability Level 1

What is the number of solutions to the following equation?

x − y = x + y \sqrt{ x-y} = \sqrt {x+y}

2 Infinite Indeterminate 1 0

Aaryan Vaishya by aaryan vaishya , 14, USA

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1 solution

Aaryan Vaishya
Oct 30, 2018

We square both sides to get x-y = x+y.From there we get 0= 2y .Therefore we have infinitely many xS because x-0=x+0 is true for all x.

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I disagree, the only solution is y=0

Hana Wehbi - 2 years, 7 months ago

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yes but x can have infinitely many solutions while y is fixated

aaryan vaishya - 2 years, 7 months ago

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