Question

n which step did Tran first make an error? Step 1 Step 2 Step 3 Step 4Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table. In which step did Tran first make an error? Step 1 Step 2 Step 3 Step 4

Answer 1

we have

$2x^{2}-4x-3=0$

Step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$2x^{2}-4x=3$

Step 2

Factor the leading coefficient

$2(x^{2}-2x)=3$

Step 3

Complete the square. Remember to balance the equation by adding the same constants to each side

$2(x^{2}-2x+1)=3+2$ ------> Tran made his first mistake in this Step 3

Because Tran did not multiply the term 1 by the leading coefficient in the right side

$2(x^{2}-2x+1)=5$

Step 4

Rewrite as perfect squares

$2(x-1)^{2}=5$

therefore

the answer is

Step 3

Answer 2

Answer:

Tran made his first mistake in this Step 3  

Because Tran did not multiply the term 1 by the leading coefficient in the right side