What is the product of the roots of the quadratic equation 2x² + 3x - 5 = 0?

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Question: What is the product of the roots of the quadratic equation 2x² + 3x - 5 = 0?

Options:

Correct Answer: -2.5

Solution:

The product of the roots is given by c/a. Here, -5/2 = -2.5.

What is the product of the roots of the quadratic equation 2x² + 3x - 5 = 0?

What is the product of the roots of the quadratic equation 2x² + 3x - 5 = 0?

Step 1: Identify the coefficients of the quadratic equation. The equation is 2x² + 3x - 5 = 0.
Step 2: Recognize the standard form of a quadratic equation, which is ax² + bx + c = 0. Here, a = 2, b = 3, and c = -5.
Step 3: Use the formula for the product of the roots of a quadratic equation, which is given by c/a.
Step 4: Substitute the values of c and a into the formula. Here, c = -5 and a = 2.
Step 5: Calculate the product of the roots: -5 divided by 2 equals -2.5.

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