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

Question

. 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
.

Answer 1

The given equation is \( x^2 + 4x + 3 = 0 \). This is a quadratic equation in the standard form \( ax^2 + bx + c = 0 \).

1. The value of \( a \) is 1 (the coefficient of \( x^2 \)).
2. The value of \( b \) is 4 (the coefficient of \( x \)).
3. The value of \( c \) is 3 (the constant term).

To find one solution to the equation, we can factor it or use the quadratic formula.

Factoring gives: \[ (x + 1)(x + 3) = 0 \] Setting each factor to zero gives the solutions:

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

One solution to the equation is -1 (or you could also state -3, as both are valid solutions).

Here is the complete answer:

• The value of \( a \) is 1.
• The value of \( b \) is 4.
• The value of \( c \) is 3.
• One solution to the equation is -1.