Question

If the distanc e between the two points (8,x) and(x, 8) is 2√2 units then find the value of x​

Answer 1

Answer:

x=6(or)10

Step-by-step explanation:

√((x2-x1)^2+(y2-y1)^2)=d

square on both side

(x-8)^2+(8-x)^2=8

x^2+64-16x+64+x^2-16x=8

2x^2-32x+120=0

divide by 2 on both sid

x^2-16x+60=0

(x-6)(x-10)=0

so, the x=6(or)10