If you divide one root of the equation 4x2 + bx − 27 = 0 by the other root, the quotient will be −3. Find b.
Question
If you divide one root of the equation 4x2 + bx − 27 = 0 by the other root, the quotient will be −3. Find b.
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Solution 1
Let's denote the roots of the equation as p and q. According to Vieta's formulas, we know that:
- p + q = -b/4 (the sum of the roots is equal to the opposite of the coefficient at x, divided by the coefficient at x²)
- pq = -27/4 (the product of the roots is equal to the constant term, divided by Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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