Question

find x if distance between points L(x,7) and M (1,15 )is 10​

Answer 1

Step-by-step explanation:

Distance between LM=10

LM=

(x−1)

2

+(7−15)

2

=10

⇒

(x−1)

2

+(−8)

2

=10

(x−1) 2

+64

=100

Squaring both sides

(x−1)

2 +64=100⇒x

2 −2x+1+64=100⇒x 2

−2x−35=0

⇒x(x−7)+5(x−7)=0

⇒(x+5)(x−7)=0

⇒x=−5,7

Answer 2

Answer:

by using distance form.

x-1)2+(15-7)2 and whole root =10 by squaring both sides we got ..x-1)2+64 =100 by solving eq. we got 5 and -7