Question

The number of solutions of the equation
|x-2|^10x²-1= |x-2|^3x is ?​

Answer 1

Step-by-step explanation:

Correct option is

A

infinite

3x+3y−z=5

x+y+z=3

2x+2y−z=3

Let x+y=a

The given system becomes

3a−z=5 …….(1)

a+z=3 ……….(2)

2a−z=3 ……..(3)

Adding (1) and (2) gives 4a=8 ⇒a=2

From (2), we have 2+z=3 ⇒z=1

From (3), we have 2a=3+z=3+1=4

⇒a=2

So, a=2 and z=1

i.e., z+y=2 and z=1

If x=k, they y=2−k and z=1

i.e, thus are infinite solutions possible for the given system of equations