Question

please answer the following question

Answer 1

Answer:

-14 is the value of x......

Answer 2

Answer:

The values of x are -6 and 2.

Step-by-step explanation:

w.k.t., distance between two points (x₁,y₁) and (x₂,y₂) is $d = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ or $d^{2} = (x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}$.

Also, distance between (2,-2) and (-1,x) is 5.

⇒ $5^{2} = (-1-2)^{2}+(x-(-2))^{2}$

or $25 = (-3)^{2}+(x+2)^{2} = 9+x^{2}+4+4x$

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

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

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

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

⇒ x = -6 or x = 2