Question

what are the values of a, b, and c in the quadratic equation $-2x^2 + 4x - 3 = 0$?
○ $a = 2, b = 4, c = 3$
○ $a = 2, b = 4, c = -3$
○ $a = -2, b = 4, c = 3$
○ $a = -2, b = 4, c = -3$

Explanation:

Step1: Recall Quadratic Form

The standard form of a quadratic equation is \( ax^2 + bx + c = 0 \), where \( a \), \( b \), and \( c \) are coefficients (with \( a
eq 0 \)).

Step2: Identify Coefficients

For the equation \( -2x^2 + 4x - 3 = 0 \), compare with \( ax^2 + bx + c = 0 \):

• The coefficient of \( x^2 \) is \( a = -2 \).
• The coefficient of \( x \) is \( b = 4 \).
• The constant term is \( c = -3 \).

Answer:

D. \( a = -2, b = 4, c = -3 \) (assuming the last option is labeled D; if labels are A - D as per order, the last option: \( a = -2, b = 4, c = -3 \))