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SOLVE STEP BY STEP IN DIGITAL FORMAT 4. One of the ends of a line segment of length equal to 4 is the point A (4, 1); if the ordinate of the other extreme is (-2), find its abscissa (two solutions). 5. One of the ends of a line segment of length equal to √18 is the point A (-6, 2); if the ordinate of the other end is (-1), Find its abscissa (two solutions).

SOLVE STEP BY STEP IN DIGITAL FORMAT 4. One of the ends of a line segment of length equal to 4 is the point A (4, 1); if the ordinate of the other extreme is (-2), find its abscissa (two solutions). 5. One of the ends of a line segment of length equal to √18 is the point A (-6, 2); if the ordinate of the other end is (-1), Find its abscissa (two solutions).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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SOLVE STEP BY STEP IN DIGITAL FORMAT 4. One of the ends of a line segment of length equal to 4 is the point A (4, 1); if the ordinate of the other extreme is (-2), find its abscissa (two solutions). 5. One of the ends of a line segment of length equal to √18 is the point A (-6, 2); if the ordinate of the other end is (-1), Find its abscissa (two solutions).
Transcribed Image Text:SOLVE STEP BY STEP IN DIGITAL FORMAT 4. One of the ends of a line segment of length equal to 4 is the point A (4, 1); if the ordinate of the other extreme is (-2), find its abscissa (two solutions). 5. One of the ends of a line segment of length equal to √18 is the point A (-6, 2); if the ordinate of the other end is (-1), Find its abscissa (two solutions).
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Step 1

4. Given :- One of the ends of a line segment of length equal to 4 is the point A(4,1); if the ordinate of the other extreme is (-2), find its abscissa.

solution :-

let abscissa of other extreme is x, then coordinate is (x,-2).

length=4

4=(x-4)2+(-2-1)2

4=(x-4)2+(-3)2

4=x2+16-8x+9

42= x2+25-8x

x2-8x+25-16=0

x2-8x+9=0

x= -(-8)±(-8)2-4(1)(9)2(1)

x=8±64-362

x=8±282

x=4±7=4+7,4-7=6.65,1.35

hence, abscissa 6.65 or 1.35

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