Question

If the distance between the points (2, -2) and (-1, x) is 5, one of the values of x is​

Answer 1

Ans is 2 or -6

might be helpful

Answer 2

$\huge\underline\mathfrak{Answer}$

Distance between two points A(2, -2) and B(-1, x)

$d = \sqrt{ { (x_{2} - x_{1}) }^{2} + { (y_{2} - y_{1}) }^{2} }$

$5 = \sqrt{ {( - 1 - 2)}^{2} + {(x + 2)}^{2} }$

Squaring on both sides,

$25 = {( - 3)}^{2} + {(x + 2)}^{2}$

${(x + 2)}^{2} = 25 - 9$

${x}^{2} + 4 + 4x = 16$

${x}^{2} + 4x - 12 = 0$

${x}^{2} - 2x + 6x - 12 = 0$

$(x + 6)(x - 2) = 0$

$\boxed{x = 2 \: or \: - 6}$

Here x can be either 2 or -6

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