Question

In which step did Cyrus make an error?

7 7 (x - 1)² = 12

(x - 1)2 = 36 Step 1

I-1= 6

Step 2

I=7

Step 3

Answer 1

Answer is step 2

Explanation:

Answer 2

In step 2 Cyrus make an error.

Explanation:

Given : Expression
`(1)/(3)(x-1)^2=12`

To find : In which step did Cyrus make an error?

Solution :

Expression
`(1)/(3)(x-1)^2=12`

Step 1 -
`(x-1)^2=36`

Step 2 -
`x-1=6`

Step 3 -
`x=7`

There is a mistake in step 2,

As we are taking root both side so RHS value is +6 and -6.

So that there are two solutions of the equation.

Correct steps are,

Step 2 -
`x-1=6,-6`

Step 3 -
`x=7,-5`

Therefore, In step 2 Cyrus make an error.