Question

What will be the value of x, if the distance between the points (5, 11) and (2, x) is 10?

Answer 1

Step-by-step explanation:

Distance formula for two points = √{(x2 - x1)^2 + (y2 - y1)^2)}

d = 10

x2 = 2

x1 = 5

y2 = x

y1 = 11

√{(2 - 5)^2 + (x - 11)^2} = 10

By squaring both sides,

(-3)^2 + (x - 11)^2 = 100

9 + x^2 + 121 - 22x = 100

130 + x^2 - 22x = 100

x^2 - 22x + 30 = 0

Sum = -22

Product = 30

x = 11 + √91, 11 – √91

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