Question

For what value of x, the distance between the points P(2, 3) and Q(x, 5) is 10?​

Answer 1

Given,

Distance between P and Q=10

⇒

$\sqrt{(x - 2) ^{2} } \sqrt{ + (5 + 3) {}^{2} }$

=10[ Using distance formula ]

x²−4x+68=100

x² −4x−32=0

x2 −8x+4x−32=0

⇒(x−8)(x+4)=0

⇒x=8,−4

HEnce, the required values of x are 8 and −4