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21 Mar 2019, 07:42
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
61% (01:38) correct
39%
(01:50)
wrong
based on 155
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The graph of which of the following equations have two intersections with axis-x?
(A) \(y=x^2+2x+3\)
(B) \(y=2x^2-3x+6\)
(C) \(y=-3x^2-5x+7\)
(D) \(y=2x^2-4x+2\)
(E) \(y=4x^2+2x+1\)
(A) \(y=x^2+2x+3\)
(B) \(y=2x^2-3x+6\)
(C) \(y=-3x^2-5x+7\)
(D) \(y=2x^2-4x+2\)
(E) \(y=4x^2+2x+1\)
21 Mar 2019, 08:37
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The standard way (in high school algebra) to answer a question like this is by calculating something called the 'discriminant'. For any quadratic ax^2 + b^2 + c, the discriminant is equal to b^2 - 4ac. When the discriminant is positive, then the quadratic has two distinct roots, when it is zero, the quadratic has exactly one root, and when it is negative, the quadratic has no roots. Those roots will correspond to x-intercepts when you graph y = ax^2 + bx + c, so to answer this question, all you need to do is compute discriminants for each answer choice; only C gives a positive value.
But this really is not the kind of thing the GMAT tests, so you can safely ignore this question.
But this really is not the kind of thing the GMAT tests, so you can safely ignore this question.
Updated on: 21 Mar 2019, 08:55
Originally posted by CAMANISHPARMAR on 21 Mar 2019, 08:52.
Last edited by CAMANISHPARMAR on 21 Mar 2019, 08:55, edited 1 time in total.
Last edited by CAMANISHPARMAR on 21 Mar 2019, 08:55, edited 1 time in total.
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The graph of which of the following equations have two intersections with axis-x?
(A) y=x^2+2x+3
(B) y=2x^2-3x+6
(C) y=-3x^2-5x+7
(D) y=2x^2-4x+2
(E) y=4x^2+2x+1
(A) y=x^2+2x+3
(B) y=2x^2-3x+6
(C) y=-3x^2-5x+7
(D) y=2x^2-4x+2
(E) y=4x^2+2x+1
Only the equation mentioned in option C has two distinct roots as b^2-4ac > 0.
Hence option C is the correct answer.
