find the COordinates of a point on the x-axis which are at a distance of 17 cents from (11-18)
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Answer:
Let the required point be (x,0).
(x−11)
2
+(8)
2
=17
(x−11)
2
+64=289
x
2
+121−22x+64=289
x
2
−22x−104=0
x
2
−26x+4x−104=0
x(x−26)+4(x−26)=0
(x−26)(x+4)=0
x=26,−4
Hence, the required points are (26,0) and (−4,0).
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