Question

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

Answer 1

The step in which Yvonne first makes an error while solving the quadratic equation by completing the square in step 1.

What is a quadratic equation?

A quadratic equation is an equation in which the highest power of the variable is two.

Yvonne is solving the quadratic equation, which is,

6x² +24x +7 =0

He is solving the above equation by completing the square.

The first step to solving this quadratic equation by completing the square is, Take the constant value 7 at the opposite side of the equation as,

6x² +24x = -7

Here, the number seven was a positive number, which we have changed to negative because this number brings the other side of the equation.

In the image attached below, the first step of  the Yvonne while solving the equation by completing the square is,

6x² +24x = 7

Here, Yvonne does not change the sign of the number 7 while taking it to another side of the equation.

Hence, the step in which Yvonne first makes an error while solving the quadratic equation by completing the square is step 1.

The table is attached with the answer below

Learn more about the quadratic equation here;

brainly.com/question/17177510

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