Suppose:
ax + by = 5 ax2 + by2 = 10 ax3 + by3 = 50 ax4 + by4 = 130
Calculate the value of:
13(x + y – xy) – 120(a + b) = ?
42
Solution is here
Suppose α, β, γ are roots of the equation:
x3 + 3x2 – 24x + 1 = 0
Find the value of ∛α + ∛β + ∛γ
Suppose a and b are real numbers such that:
a√a + b√b = 183 b√a + a√b = 182
What is the value of (9/5)(a + b)?