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x^2 – 2 x + 1 ≤ 0 has

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x^2 – 2 x + 1 ≤ 0 has

by sanju09 » Fri Jun 18, 2010 4:13 am
The inequality x^2 - 2 x + 1 ≤ 0 has
(A) no solutions
(B) a set of solutions
(C) 1 solution only
(D) 2 solutions only
(E) 3 solutions only
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by kvcpk » Fri Jun 18, 2010 4:23 am
sanju09 wrote:The inequality x^2 - 2 x + 1 ≤ 0 has
(A) no solutions
(B) a set of solutions
(C) 1 solution only
(D) 2 solutions only
(E) 3 solutions only
x^2 - 2 x + 1 ≤ 0
(x-1)(x-1)<=0

1<= x <= 1

therefore x =1

Answer C
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by amising6 » Fri Jun 18, 2010 4:24 am
The inequality x^2 - 2 x + 1 ≤ 0 has
(A) no solutions
(B) a set of solutions
(C) 1 solution only
(D) 2 solutions only
(E) 3 solutions only

x^2 - 2 x + 1<=0
(x-1)^2<=0 (since its square (x-1)^2 will always be >=0)

so x-1=0
x=1
so only one solution
answer =c
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by sanju09 » Fri Jun 18, 2010 4:38 am
no matter it's an inequality
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
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by amising6 » Fri Jun 18, 2010 5:40 am
sanju09 wrote:no matter it's an inequality
in equality square of a number can be less than zero .new thing to me
Ideation without execution is delusion
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