Question

In which step did Viet make an error? 2 ( x − 3 ) 2 + 4 = 102 2 ( x − 3 ) 2 = 106 Step 1 ( x − 3 ) 2 = 53 Step 2 x − 3 = ± 53 Step 3 x = ± 53 + 3 Step 4 2(x−3) 2 +4 2(x−3) 2 (x−3) 2 x−3 x ​ =102 =106 =53 =± 53 ​ =± 53 ​ +3 ​ Step 1 Step 2 Step 3 Step 4 ​

Answer 1

Answer:

Step 2

Step-by-step explanation:

Given

Step 1: $2(x - 3)^2 + 4 = 102$

Step 2: $2(x - 3)^2 = 106$

Step 3: $x - 3 = \±\sqrt{53$

Step 4: $x = \±\sqrt{53} + 3$

Required

Where did Viet made an error?

The step 1 indicates the original question.

$2(x - 3)^2 + 4 = 102$

To get to step 2, we have to subtract 4 from both sides of the equation.

$2(x - 3)^2 + 4 -4= 102 - 4$

$2(x - 3)^2 = 98$

However, the above expression is different from Viet's evaluation.

Hence, we can conclude that Viet made an error in step 2