19. Given A = (x + 2,-2) and B = (11. 6). Find
x if AB = 17
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According to the question
AB=17
AB
2
=29
(11−x−2)
2
+(6+2)
2
=289⇒x
2
+81−18x+64=289
⇒x
2
−18x−144=0⇒x
2
−24x+6x−144=0⇒x(x−24)+6(x−24)=0⇒(x−24)(x+6)=0
x=24,−6
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