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Q1 · Algebra · MEDIUM
If x + 1/x = 5, what is the value of x³ + 1/x³?
Q2 · Algebra · MEDIUM
If x + 1/x = 5, what is the value of x³ + 1/x³?
Q3 · Algebra · HARD
The sum of the roots of the quadratic equation 2x² - 7x + k = 0 is equal to the product of the roots. What is the value of k?
Q4 · Algebra · MEDIUM
If x and y are positive real numbers such that x² + y² = 29 and xy = 10, what is the value of (x + y)²?
Q5 · Algebra · HARD
If the sum of the roots of the equation x² - px + q = 0 is three times their product, and one root is twice the other, what is the value of p/q?