Algebraic expressions, identities, linear and quadratic equations.
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Q1 · Algebra (Varg-1, Varg-2) · EASY
If x + 1/x = 5, then what is the value of x² + 1/x²?
Q2 · Algebra (Varg-1, Varg-2) · MEDIUM
Simplify: (x + 3)(x - 3)(x² + 9)
Q3 · Algebra (Varg-1, Varg-2) · MEDIUM
A student solved the equation 2x + 5 = 3x - 7 and got x = 12. What error did the student make?
Q4 · Algebra (Varg-1, Varg-2) · HARD
If one root of the quadratic equation x² - px + 12 = 0 is 3, then what is the value of p?
Q5 · Algebra (Varg-1, Varg-2) · MEDIUM
If x² - 5x + 6 = 0, then what is the value of x³ + 1/x³ when x ≠ 0?