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# Suppose that |x + y| + |x − y| = 2. What is the maximum possible value

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Manager
Status: Manager
Joined: 02 Nov 2018
Posts: 178
Suppose that |x + y| + |x − y| = 2. What is the maximum possible value  [#permalink]

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21 Mar 2019, 06:19
1
2
00:00

Difficulty:

75% (hard)

Question Stats:

42% (02:26) correct 58% (02:44) wrong based on 31 sessions

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Suppose that |x + y| + |x − y| = 2. What is the maximum possible value of$$x^2 − 6x + y^2$$ ?

(A) 5

(B) 6

(C) 7

(D) 8

(E) 9

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Manager
Joined: 19 Jan 2019
Posts: 70
Re: Suppose that |x + y| + |x − y| = 2. What is the maximum possible value  [#permalink]

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21 Mar 2019, 08:10
To have the maximum value of x^2 -6x + y^2... X has to take a negative value...

The maximum negative value what X can take and also satisfy the the condition |X+y| + |x-y| = 2 is -1..

If X is -1 , y will be 1..
Thus the maximum value of the equation x^2 - 6x + y^2 = 8

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Intern
Joined: 23 Mar 2018
Posts: 20
Re: Suppose that |x + y| + |x − y| = 2. What is the maximum possible value  [#permalink]

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04 Apr 2019, 23:07
Can you solve this question with detail approach
Manager
Joined: 23 Jan 2018
Posts: 138
Location: India
WE: Information Technology (Computer Software)
Re: Suppose that |x + y| + |x − y| = 2. What is the maximum possible value  [#permalink]

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05 Apr 2019, 06:40
is there any other method except trial and error?
Re: Suppose that |x + y| + |x − y| = 2. What is the maximum possible value   [#permalink] 05 Apr 2019, 06:40
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