When solving the quadratic equation x² + 4x + 3 = 0 we get:
x = -1 and x = -3 .
<h3>What is completing the squares?</h3>
- In mathematics, completing the square is a method for converting a quadratic expression of the form ax² + bx + c to the vertex form ,
a(x + m)² + n.
- The most common application of this method is to solve a quadratic equation by rearranging the expression obtained after completing the square: a(x + m)² + n, so that the left side is a perfect square trinomial.
Here given an equation,
x² + 4x + 3 = 0
(x² + 4x +<u>4</u>) + (<u>-4</u> + 3) =0
(x² + 4x + 4 ) = 1
(x + <u>2</u>)² = <u>1</u>
x + 2 = ±√1
x + <u>2 </u>= ± <u>1</u>
x + 1 = 0
x + 3 = 0
x = <u>-1</u>
x =<u> -3</u>
The answers are underlined.
By solving the equation x² + 4x + 3 = 0 we get x = -1 and x = -3.
To learn more about completing the squares refer to :
brainly.com/question/13981588
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