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

we have

Step 1

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

Step 2

Factor the leading coefficient

Step 3

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

------> 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

Step 4

Rewrite as perfect squares

therefore

the answer is

Step 3

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you