Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Type the correct answer in each box. Use numerals instead of words. Consider the quadratic equation x2 + 10x + 27 = 0. Completing the square leads to the equivalent equation (x + )2 = .

Sagot :

Answer:

Step-by-step explanation:

ax² + bx + c = y

x² + 10x + 27 = 0

to complete the square, we want the "c" term to be equal to the square of half of the "b" term.

In this case b = 10, half of that is 5. the square of 5 is 25.

We already have c = 27, so to get 25 there we just subtract 2 from each side of the equation.

x² + 10x + 27 - 2 = 0 - 2

x² + 10x + 25 = - 2

         (x + 5)² = - 2

taking the square root of each side

            x + 5 = ±√- 2

the square root of a negative number is an imaginary number

            x + 5 = ±√-1√2

            x + 5 = ± i√2

                  x = - 5 ± i√2

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.