19-10-09 Solve an equation

JEE Advanced Guidance › Question Of the Day questions › 19-10-09 Solve an equation

\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}} = 1

Hint: Observe before you jump to solve ;)

Src: Mathematics and Problem Solving : Soifer

#Miscellaneous #Question Of the Day

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8 Answers

11

Mani Pal Singh ·2009-11-09 06:09:27

[13]
x=10 [4]

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11

Mani Pal Singh ·2009-11-09 06:10:41

x-1=k²=question done

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62

Lokesh Verma ·2009-11-09 06:15:55

You killed this one :P

Someone who can finish this off?

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11

Tush Watts ·2009-11-09 06:23:13

Frm Mani pal's hint,

put x-1 = k²
so x = k ² +1

(√k ² - 4k +4) + (√k² - 6k +9 ) = 1

On solving , we get

|k-2| + |k-3| = 1

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3

msp ·2009-11-09 07:20:08

ohhh i think this will be the first qn which is solved within 4 minutes.

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11

Mani Pal Singh ·2009-11-09 09:51:30

col
thats y i was sleeping
:((((((

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11

Mani Pal Singh ·2009-11-09 09:52:16

but x=10 satisfies the equation
put it :|

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11

Mani Pal Singh ·2009-11-09 09:53:49

x=5 and also x=7.5
:((((((((

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