Question

if the distance between two points A(1,1) B(x,1)=5units , then find the x

Answer 1

AB² = (x1 - x2)² + (y1 - y2)²

(5)² = ( 1 - x )² + ( 1 - 1 )²

25 = 1 - 2x + x²

x² - 2x - 24 = 0

x² - (6 - 4 )x - 24 = 0

x² - 6x + 4x - 24 = 0

x (x - 6) + 4 (x - 6) = 0

(x + 4) (x - 6) = 0

Therefore x = -4 or x = 6

Distance can't be negative.

So x = 6

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Answer 2

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