Which of the following expressions represents the sum of the roots of the quadra

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Question: Which of the following expressions represents the sum of the roots of the quadratic equation 5x^2 + 3x - 2 = 0?

Options:

Correct Answer: -3/5

Solution:

The sum of the roots is given by -b/a, which is -3/5 for this equation.

Which of the following expressions represents the sum of the roots of the quadratic equation 5x^2 + 3x - 2 = 0?

Which of the following expressions represents the sum of the roots of the quadratic equation 5x^2 + 3x - 2 = 0?

Step 1: Identify the coefficients of the quadratic equation. The equation is 5x^2 + 3x - 2 = 0.
Step 2: Recognize the standard form of a quadratic equation, which is ax^2 + bx + c = 0. Here, a = 5, b = 3, and c = -2.
Step 3: Use the formula for the sum of the roots of a quadratic equation, which is -b/a.
Step 4: Substitute the values of b and a into the formula. Here, b = 3 and a = 5.
Step 5: Calculate -b/a. This means you calculate -3/5.
Step 6: Conclude that the sum of the roots of the equation 5x^2 + 3x - 2 = 0 is -3/5.

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