Question

Jared solved a quadratic equation using the quadratic formula. Help him finish simplifying the fraction below.

Answer 1

To simplify
`\((-4 \pm √(-36))/(8)\)`, convert the square root of -36 to 6i, then divide both -4 and 6i by 8 to result in
`(-2 \pm 3i)/(4)`.

The student is asking to help simplify the expression
`\((-4 \pm √(-36))/(8)\)` which is derived from solving a quadratic equation using the quadratic formula. The student needs to find the values of A± B/C from this expression.

Let's simplify the expression
`\((-4 \pm √(-36))/(8)\)`.

First, simplify the square root:

`\[ √(-36) = √((-1) * 36) = 6i \]`

Now substitute this value into the original expression:

`\[ (-4 \pm 6i)/(8) \]`

Now, you can factor out a common factor of 2 from the numerator:

`\[ (-2 \pm 3i)/(4) \]`

The expression is now in the form
`\( (A \pm B)/(C) \)`, where:

- A = -2 ,

- B = 3i , and

- C = 4.

So, the simplified form is:

`\[ (-2 \pm 3i)/(4) = (A \pm B)/(C) \]`

The probable question may be: "Jared solved a quadratic equation using the quadratic formula. Help him finish simplifying the fraction below:

`\((-4 \pm √(-36))/(8)\)`"