Question

findx if distance between point L(x,7)and M(1,15) is10​

Answer 1

Step-by-step explanation:

1. the correct answer is 7or 7 √[x-1]^2+[15-7]^2= 10 (x-1) ^2+64= 100 (x-1) ^2= 36
2. x-1=√36 x= 6+1,x=7

Answer 2

Answer:

x = -5 and 7

Step-by-step explanation:

using distance formula

=√[(x-1)² + (7-15)²] =10

= √[( x²+1-2x) + 64] =10

√ [x² -2x + 65] = 10

x² -2x +65=100

x²-2x= 35

x² -2x -35 =0

Finding roots using factorisation method,

x² -7x + 5x -35 =0

x(x-7) + 5(x-7) = 0

(x+5) (x-7) =0

ANS :- {x = -5, 7 }