Question

if find distance between two points(x, 7)and(1,15) is 10,find x
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Answer 1

Answer:

$x = 3$

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Answer 2

Answer:

$10 = \sqrt{(x - 1) {}^{2} + (15 - 7) {}^{2} }$

10² = x² + 1 - 2x + 8²

100 = x² - 2x + 65

x² - 2x + 65-100

x² - 2x - 35 = 0

x² - (7x-5x) - 35 = 0

x² - 7x + 5x - 35 = 0

x(x-7) + 5(x-7) = 0

(x-7)(x+5) = 0

either x = 7, -5