Yvonne is solving the quadratic equation 6x2 24x 7 = 0 by completing the square. Her first four steps are shown in the table. A

Question

2 years ago

9

table listing the first few steps in deriving the quadratic formula In which step did Yvonne first make an error? Step 1 Step 2 Step 3 Step 4.

1 answer:

madreJ [45] · Answer 1 · 2023-04-18T00:57:37+03:00

The step in which Yvonne fist make an error while solving the quadratic equation by completing the square, is step 1.

<h3>What is a quadratic equation?</h3>

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

Yvonne is solving the quadratic equation, which is,

$6x^2+ 24x+ 7 = 0$

He is solving the above equation by completing the square.

First steps to solve this quadratic equation by completing the square is,

Take the constant value 7 at the opposite side of the equation as,

$6x^2+ 24x= -7$

Here, the number seven was a positive number, which we have changed to negative because this number bring 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,

$6x^2+ 24x= 7$

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

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

Learn more about the quadratic equation here;