Solve for the roots in simplest form by completing the square: -6x^2-96x-330=0 Answer Attempt 1out of 2 (C) Additional Solution ()No Solution z=1

Question

Answer 1

To solve the quadratic equation

by completing the square, we first divide the entire equation by -6 to simplify it:

Next, we move the constant term to the other side of the equation:

Now, we complete the square by adding

to both sides:

Taking the square root of both sides, we get:

Finally, solving for

, we find the roots:

Therefore, the roots of the equation

are

and

.

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