Question

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cheat mat krna..........

find the value of x for which the distance between the points p[2,-3] & q[x,5] is 10 units.

Answer 1

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hello I take already this question answer OK.....

By Distance Formula :-
__________________
√ ( 2 - x )2 + ( - 3 - 5 )2 = 10

Squaring on both sides :-

4 + x2 - 4x + 64 = 100

x2 - 4x + 68 - 100 = 0

x2 - 4x - 32 = 0

x2 - 8x + 4x - 32 = 0

x ( x - 8 ) + 4 ( x - 8 ) = 0

( x + 4 ) ( x - 8 ) = 0

x = - 4 or 8

Answer 2

ʙʏ ᴅɪsᴛᴀɴᴄᴇ ғᴏʀᴍᴜʟᴀ :-
  __________________
√  ( 2 - x )2  +  ( - 3 - 5 )2     =   10

sǫᴜᴀʀɪɴɢ ᴏɴ ʙᴏᴛʜ sɪᴅᴇs :-

4 + x2 - 4x + 64 = 100

x2 - 4x + 68 - 100 = 0

x2 - 4x - 32 = 0

x2 - 8x + 4x - 32 = 0

x ( x - 8 ) + 4 ( x - 8 ) = 0

( x + 4 ) ( x - 8 ) = 0

x = - 4 ᴏʀ 8

##  !!  ᴀɴsᴡᴇʀ :- x = - 4 ᴏʀ 8  !!  ##

ʙʏ ᴅɪsᴛᴀɴᴄᴇ ғᴏʀᴍᴜʟᴀ :-
  __________________
√  ( 2 - x )2  +  ( - 3 - 5 )2     =   10

sǫᴜᴀʀɪɴɢ ᴏɴ ʙᴏᴛʜ sɪᴅᴇs :-

4 + x2 - 4x + 64 = 100

x2 - 4x + 68 - 100 = 0

x2 - 4x - 32 = 0

x2 - 8x + 4x - 32 = 0

x ( x - 8 ) + 4 ( x - 8 ) = 0

( x + 4 ) ( x - 8 ) = 0

x = - 4 ᴏʀ 8

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