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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If the x-coordinates of the two x-intercepts of a parabola are 3 – √2

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Math Expert V
Joined: 02 Sep 2009
Posts: 60646
If the x-coordinates of the two x-intercepts of a parabola are 3 – √2  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 70% (01:10) correct 30% (01:27) wrong based on 54 sessions

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If the x-coordinates of the two x-intercepts of a parabola are 3 – √2 and 5 + √2, then what is the distance between them?

A. 2–2√2
B. 2+2√2
C. 8+2√2
D. 2
E. 8

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Director  D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 980
WE: Supply Chain Management (Energy and Utilities)
Re: If the x-coordinates of the two x-intercepts of a parabola are 3 – √2  [#permalink]

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Bunuel wrote:
If the x-coordinates of the two x-intercepts of a parabola are 3 – √2 and 5 + √2, then what is the distance between them?

A. 2–2√2
B. 2+2√2
C. 8+2√2
D. 2
E. 8

Given two points of intersection of the parabola with the x-axis. It means the straight-line joining this two points is the x-axis. On the x-axis , y-coordinate is 0.

Now the problem is simplified to "What is the "distance between (3 – √2,0) and (5 + √2,0).

Hence, the required distance= (5 + √2)-(3 – √2)=2+2√2

Ans. (B)
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PKN

Rise above the storm, you will find the sunshine Re: If the x-coordinates of the two x-intercepts of a parabola are 3 – √2   [#permalink] 31 Oct 2018, 10:19
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# If the x-coordinates of the two x-intercepts of a parabola are 3 – √2  