Question

A is a point on x-axis , B= (5, -4) and AB= 5 units , find the co-ordinate of A
​

Answer 1

Answer:

x=2 and x=8

Step-by-step explanation:

if A is point on x axis then value of y=0

so, A=(x,0)

and given, B=(5,-4)

and AB=5 units

by distance formula:

AB=√(x-5)^2+(y-(-4))^2

5= √x^2+25-10x+(y+4)^2

5 = √x^2+25-10x+y^2+16+8y

squaring both sides

25= x^2+25-10x+y^2+16+8y

0=x^2-10x+y^2+16+8y

but y=1(because A=(x,0))

so,

0=x^2-10x+16

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

0=x(x-8) -2(x-8)

0=(x-2)(x-8)

so, x=2 and x=8

Answer 2

Answer:

x=2 and x=8

Step-by-step explanation:

hope it helped u

plz mark me as a brainlist