Question

lf the distance between two points is (x, 7) and (1, 5) us 10 . find the value of x​

Answer 1

Answer:

$x = 1 + 4 \sqrt{6} \: \: \: \: \: \: \: \: \: \: \: \: x = 1 - 4 \sqrt{6}$

Step-by-step explanation:

$\sqrt{ {(x - 1)}^{2} + {(7 - 5)}^{2} } = 10 \\ \\ {(x - 1)}^{2} + 4 = 100 \\ \\ {(x - 1)}^{2} = 96 \\ \\ x - 1 = 4 \sqrt{6} \: \: \: \: \: \: \: \: \: \: x - 1 = - 4 \sqrt{6} \\ \\ x = 1 + 4 \sqrt{6} \: \: \: \: \: \: \: \: \: \: \: \: x = 1 - 4 \sqrt{6}$