The cordinates of a A are (-4,8) and those of B are (x, 3).Find x if AB=13.
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Answer:
13×13=(x+4)(x+4)+(3-8)^2
169=x^2+16+8x+25
169=x^2+8x+41
x^2+8x-128=0
x^2+16x-8x-128=0
x(x+16)-8(x+16)=0
(x+16)(x-8)=0
x= -16 or x=8
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