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Yvonne is solving the quadratic equation 6x2 + 24x + 7 = 0 by completing the square. Her first four steps are shown in the table. In which step did Yvonne first make an error?

Step 1
Step 2
Step 3
Step 4

Yvonne is solving the quadratic equation 6x2 24x 7 0 by completing the square Her first four steps are shown in the table In which step did Yvonne first make an class=

Respuesta :

calculista

we have

[tex] 6x^{2} + 24x + 7 = 0 [/tex]

step [tex] 1 [/tex]

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

[tex] 6x^{2} + 24x =-7 [/tex] -------> Yvonne first error( She added [tex] 7 [/tex] on one side and subtracted on the other)

step [tex] 2 [/tex]

Factor the leading coefficient

[tex] 6(x^{2} + 4x) =-7 [/tex]

step [tex] 3 [/tex]

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

[tex] 6(x^{2} + 4x+4) =-7+24 [/tex]

[tex] 6(x^{2} + 4x+4) =17 [/tex]

step [tex] 4 [/tex]

Rewrite as perfect squares

[tex] 6(x+2)^{2} =17 [/tex]

therefore

the answer is

Step 1

facundo3141592

Here we want to see in which step Yvonne makes her first mistake. We will see that the mistake is in step 1.

Solving quadratic equations:

Yvonne wants to solve:

6x^2 + 24x + 7 = 0

Let's analyze each of the steps.

The first one that she makes is this:

6x^2 + 24x = 7

So, she moved the 7 to the right side, but she did not change the sign, what she actually should have done here is:

6x^2 + 24x = -7

So her first mistake is in step 1.

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

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