1/a + 1/|a| = 0 has

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 am; Location: India; Thanked: 267 times; Followed by:80 members; GMAT Score:760

1/a + 1/|a| = 0 has

by sanju09 » Fri Jun 18, 2010 4:11 am

The equation 1/a + 1/|a| = 0 has
(A) an infinite number of solutions
(B) no solutions
(C) 1 solution only
(D) 2 solutions only
(E) 3 solutions only

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Source: Beat The GMAT — Problem Solving | Fri Jun 18, 2010 4:11 am

amising6: Master | Next Rank: 500 Posts; Posts: 294; Joined: Wed May 05, 2010 4:01 am; Location: india; Thanked: 57 times

by amising6 » Fri Jun 18, 2010 4:17 am

The equation 1/a + 1/|a| = 0 has
(A) an infinite number of solutions
(B) no solutions
(C) 1 solution only
(D) 2 solutions only
(E) 3 solutions only

now we can write this as
1/a + 1/a = 0 no solution
or
1/a - 1/a = 0 1 solution
so we have only one solution

Ideation without execution is delusion