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If the roots of the equation ax^2 + bx + c = 0 are 3 and -2, what is the value o
If the roots of the equation ax^2 + bx + c = 0 are 3 and -2, what is the value of b if a = 1 and c = -6?
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Practice Questions
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Q1
If the roots of the equation ax^2 + bx + c = 0 are 3 and -2, what is the value of b if a = 1 and c = -6?
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5
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Using the sum of roots (-b/a = 3 + (-2) = 1), we find b = -1.
Questions & Step-by-step Solutions
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Q
Q: If the roots of the equation ax^2 + bx + c = 0 are 3 and -2, what is the value of b if a = 1 and c = -6?
Solution:
Using the sum of roots (-b/a = 3 + (-2) = 1), we find b = -1.
Steps: 6
Show Steps
Step 1: Identify the given equation format, which is ax^2 + bx + c = 0.
Step 2: Note that the roots of the equation are given as 3 and -2.
Step 3: Recall the formula for the sum of the roots, which is -b/a.
Step 4: Substitute the values of the roots into the sum formula: 3 + (-2) = 1.
Step 5: Set up the equation: -b/a = 1. Since a = 1, this simplifies to -b = 1.
Step 6: Solve for b by multiplying both sides by -1: b = -1.
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