Question

Solve the quadratic equation by completing the square. [ x^{2}+4 x+1=0 ] First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. Simplify your answer as much as possible. If there is more than one solution, separate them with commas.

          Solve the quadratic equation by completing the square.
[
x^{2}+4 x+1=0
]

First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.

Solve the quadratic equation by completing the square.
[
x^2+4 x+1=0
]

First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.

Added by Talisha B.

Introductory Algebra for College Students

Robert Blitzer 6th Edition

Chapter 9

Instant Answer

Solved by Expert Donna Densmore

03/14/2024

Step 1

To do this, we need to complete the square. The coefficient of $x$ is $4$, so we take half of it, which is $2$, and square it, which is $4$. However, our constant term is $1$, not $4$. So, we need to add and subtract $4$ inside the square to make it complete. Show more…

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