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Tran 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 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

Tran 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 erro class=

Respuesta :

calculista

we have

[tex]2x^{2}-4x-3=0[/tex]

Step 1

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

[tex]2x^{2}-4x=3[/tex]

Step 2

Factor the leading coefficient

[tex]2(x^{2}-2x)=3[/tex]

Step 3

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

[tex]2(x^{2}-2x+1)=3+2[/tex] ------> 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

[tex]2(x^{2}-2x+1)=5[/tex]

Step 4

Rewrite as perfect squares

[tex]2(x-1)^{2}=5[/tex]

therefore

the answer is

Step 3

leothedrifter

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

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