Question

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

Answer 1

Step-by-step explanation:

lm=>√(1-x)^2+(15-7)^2=10

=>√1-2x+x^2+8^2=10

=>(√x^2-2x+65)^2=(10)^2

=>x^2-2x+65=100

=>x^2-2x+65-100=0

=>x^2-7x+5x-35=0

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

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

=>x=-5 or x=7