Question

The distance b/w the points A(-2,3 and B(x,7) is 4underroot5 find the value of x

Answer 1

Answer:

x=6,-10

Step-by-step explanation:

Distance between two points is given as

$\sqrt{ {(x + 2)}^{2} + {(7 - 3)}^{2} } = 4 \sqrt{5} \\ {(x + 2)}^{2} + 16 = 80 \\ {(x + 2)}^{2} = 80 - 16 = 64 = {8}^{2} \\ {(x + 2)}^{2} = {8}^{2} \\ x + 2 = 8 \: or \: x + 2 = - 8 \\ x = 6 \: or \: x = - 10$

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