Question

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

Answer 1

Option A

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 .