Question

what is the discriminant of the quadratic equation $0 = 2x^2 + 3x - 5$?\
\bigcirc -37\
\bigcirc -31\
\bigcirc 43\
\bigcirc 49

Explanation:

Step1: Recall discriminant formula

For quadratic equation \(ax^2 + bx + c = 0\), discriminant \(D = b^2 - 4ac\).

Step2: Identify \(a\), \(b\), \(c\)

In \(2x^2 + 3x - 5 = 0\), \(a = 2\), \(b = 3\), \(c = -5\).

Step3: Calculate discriminant

Substitute values: \(D = 3^2 - 4\times2\times(-5)\)
\(= 9 + 40\)
\(= 49\).

Answer:

49 (corresponding to the option with 49)