If and are the roots of the equation , then what is the equation if the roots are and ?
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If and are the roots of the equation , then what is the equation if the roots are and ?
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If p and q are the roots of the equation x² - bx + c = 0, then what is the equation if the roots are (pq + p + q) and (pq - p - q)? (A) x² - 2cx + (c² - b²) = 0 (B) x² - 2bx + (c² + b²) = 0 (C) bcx² - 2(b + c)x + c² = 0 (D) x² + 2bx - (c² - b²) = 0
Also written as: If p and q are the roots of the equation x^2 - bx + c = 0, then what is the equation if the roots are (pq + p + q) and (pq - p - q)?
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This question is on Equations and inequalities, part of Quantitative aptitude and data reasoning in Mathematics.
Solving quadratic and other equations and inequalities.
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Question from the JNU SSS 2011 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.