Question

If the distance between the points (2,-2)and (-1,x)is5. Find the value of x

Answer 1

Answer:

$\sqrt{(2 + 1) {}^{2} + ( - 2 - x) {}^{2} } = 5 \\ \sqrt{9 + 4 + {x}^{2} + 4x} = 5 \\ {x}^{2} + 4x + 13 = 25 \\ {x}^{2} + 4x - 12 = 0 \\ {x}^{2} + 6x - 2x - 12 = 0 \\ x(x + 6) - 2(x + 6) = 0 \\ (x + 6)(x - 2) = 0 \\ x = - 6 \: \: or \: \: 2$

Ans.