Question

Determine the value of x, given: A: (x, x+2) and B: (3x, x - 1), And the length of is 5

Answer 1

Using the distance formula,

$\sqrt{(3x-x)^{2}+(x-1-(x+2))^{2}}=5 \\ \\ \sqrt{(2x)^{2}+3^{2}}=5 \\ \\ \sqrt{4x^{2}+9}=5 \\ \\ 4x^{2}+9=25 \\ \\ 4x^{2}=16 \\ \\ x^{2}=4 \\ \\ x=\boxed{\pm 2}$