Solve by completing the square: 4. x^2-6x-8=0

Name: Solve by Completing the Square: 4. X^2-6x-8=0
Brand: QuestionAI
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Question

Answer 1

To solve the quadratic equation

by completing the square, we first move the constant term to the other side of the equation:

Next, we take half of the coefficient of

, which is

, and square it. Half of

is

, and

. We add

to both sides of the equation:

Simplifying, we get:

Taking the square root of both sides, we have:

Finally, solving for

, we get:

So the solutions to the equation

are

and

.

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