Question

Saul is using the quadratic formula to solve a quadratic equation. which of the following is the next step for simplifying x = -8 ± 6√3/2;

a. x = - 4±3√3;
b. x = - 4 ±6√3
c. this is fully simplified.
d. x = - 4 ± √3

Answer 1

The quadratic formula
`\(x = -4 \pm 3√(3)\)` simplifies to
`\(x = -4 + 3√(3)\)` and
`\(x = -4 - 3√(3)\)`.

The given quadratic formula is:

`\[ x = (-b \pm √(b^2 - 4ac))/(2a) \]`

In this case, the quadratic equation seems to be in the form
`\(ax^2 + bx + c = 0\)`, and the quadratic formula gives solutions for x.

The quadratic formula you provided is:

`\[ x = -4 \pm (6√(3))/(2) \]`

Now, let's simplify the expression:

`\[ x = -4 \pm 3√(3) \]`

So, the correct answer is:

a.
`\( x = -4 \pm 3√(3) \)`