Question

The length of a line segment joining
A(2,-3) and B(10,x) is 10 units. The
value of xis​

Answer 1

Answer:

by using the distance formula we can find out the value of x

Answer 2

Answer:

x = 3 or -9

Step-by-step explanation:

Distance between two points

= $\sqrt{(x2-x1)^{2} + (y2-y1)^{2} }$

Given (x1,y1) = (2,-3)

(x2,y2) = (10,x)

Also its given $8^{2} + (-3-x)^{2}$

Length of Line Segment = 10 Units

10 =  $\sqrt{(x2-x1)^{2} + (y2-y1)^{2} }$

ie 10 =  $\sqrt{(10-2)^{2} + (-3-x)^{2} }$

Square at both sides

100 = $8^{2} + (-3-x)^{2}$

100  = 64 + $x^{2}$ + 9 + 6x

36 = $x^{2}$ + 9 + 6x

$(x+3)^{2}$ = 36

x + 3 = 6 or x+3 = -6

There fore x = 3 or -9