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What is the product of the roots of the equation x^2 + 3x - 10 = 0?
What is the product of the roots of the equation x^2 + 3x - 10 = 0?
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1 question
Q1
What is the product of the roots of the equation x^2 + 3x - 10 = 0?
-10
10
3
-3
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The product of the roots is c/a = -10/1 = -10.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the product of the roots of the equation x^2 + 3x - 10 = 0?
Solution:
The product of the roots is c/a = -10/1 = -10.
Steps: 7
Show Steps
Step 1: Identify the equation given, which is x^2 + 3x - 10 = 0.
Step 2: Recognize that this is a quadratic equation in the form ax^2 + bx + c = 0.
Step 3: Identify the values of a, b, and c from the equation: a = 1, b = 3, c = -10.
Step 4: Use the formula for the product of the roots of a quadratic equation, which is given by c/a.
Step 5: Substitute the values of c and a into the formula: c/a = -10/1.
Step 6: Calculate the result: -10/1 = -10.
Step 7: Conclude that the product of the roots of the equation is -10.
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