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What is the product of the roots of the equation 2x^2 + 3x - 5 = 0?
What is the product of the roots of the equation 2x^2 + 3x - 5 = 0?
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Practice Questions
1 question
Q1
What is the product of the roots of the equation 2x^2 + 3x - 5 = 0?
-5/2
5/2
2/5
-2/5
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The product of the roots is c/a = -5/2.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the product of the roots of the equation 2x^2 + 3x - 5 = 0?
Solution:
The product of the roots is c/a = -5/2.
Steps: 5
Show Steps
Step 1: Identify the coefficients of the quadratic equation 2x^2 + 3x - 5 = 0. Here, a = 2, b = 3, and c = -5.
Step 2: Use the formula for the product of the roots of a quadratic equation, which is given by c/a.
Step 3: Substitute the values of c and a into the formula. Here, c = -5 and a = 2.
Step 4: Calculate the product of the roots: (-5) / 2 = -5/2.
Step 5: Conclude that the product of the roots of the equation is -5/2.
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