Question

2) If the distance between point A (2 ,-2) and B (-1, x) is 5 then what is the value of x?​

Answer 1

Answer:

$x = 2 \: \: \: \: \: or \: \: \: \: x = - 6$

Step-by-step explanation:

$ab = 5 \\ \\ \\ \sqrt{ {(2 + 1)}^{2} + {(x + 2)}^{2} } = 5 \\ \\ 9 + {(x + 2)}^{2} = 25 \\ \\ {(x + 2)}^{2} = 16 \\ \\ x + 2 = 4 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x + 2 = - 4 \\ \\ x = 2 \: \: \: \: \: or \: \: \: \: x = - 6$