Question

Drag numbers to the line to complete the solution to the equation. HELP PLEASEE

Answer 1

When solving the quadratic equation x² + 4x + 3 = 0 we get:

x = -1 and x = -3 .

What is completing the squares?

• 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 +4) + (-4 + 3) =0

(x² + 4x + 4 ) = 1

(x + 2)² = 1

x + 2 = ±√1

x + 2 = ± 1

x + 1 = 0

x + 3 = 0

x = -1

x = -3

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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