Mathematical induction, complex numbers, quadratic equations, sequences and series.
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Q1 · Algebra · EASY
If log₅(3x - 7) = 2, then the value of x is:
Q2 · Algebra · MEDIUM
If the quadratic equation x² - 6x + k = 0 has equal roots, then the value of k is:
Q3 · Algebra · MEDIUM
The sum of the roots of the equation 2x³ - 5x² + 3x - 7 = 0 is:
Q4 · Algebra · HARD
If α and β are the roots of the equation x² - 6x + 4 = 0, then the value of α³ + β³ is: