An equation is shown. x2+4x+3=0

. Complete the statements.(4 points)
The value of a is
.

The value of b is
.

The value of c is
.

One solution to the equation is
.

1 answer

The given equation is \( x^2 + 4x + 3 = 0 \).

To complete the statements, we identify the values of \( a \), \( b \), and \( c \) in the standard quadratic form, which is \( ax^2 + bx + c = 0 \).

  1. The value of \( a \) is 1.
  2. The value of \( b \) is 4.
  3. The value of \( c \) is 3.

To find a solution to the equation, we can factor it:

\[ x^2 + 4x + 3 = (x + 1)(x + 3) = 0 \]

Setting each factor to zero gives us the solutions:

  1. \( x + 1 = 0 \) results in \( x = -1 \)
  2. \( x + 3 = 0 \) results in \( x = -3 \)

Therefore, one solution to the equation is -1 (but the other solution is also valid as -3). For the purpose of this answer, we will state:

One solution to the equation is -1.

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