Question

Solve |5x+30|=10x ......

Answer 1

Answer:

Option A

Step-by-step explanation:

We need to solve out ,

$\implies |5x + 30| = 10x$

We can write it as ,

$\implies 5x + 30 = \pm 10x$

On simplyfing further,

$\implies 5x + 30 = 10x \quad or \quad 5x +30=-10x$

On solving the above equation , we will get ,

$\implies \boxed{ x = 6,-2}$

Now we know that the value of modulus is never negative so when we will put x is equal to 2 on the RHS we will get -20 which is not possible . Therefore , the extraneous root is -2 .

Option A is correct .