1. Rozwiąż równanie (wielomianowe) : a) 2x^3=4x^2 b) x^5=9x^3 c) x^4=-27x^3 d) x^5=8x^3 e) x^5-16x=0 f) x^6-25x^2=0

a) 2x^3=4x^2 2x³ - 4x² = 0 2x²(x - 2) = 0 x = 0 ∨ x = 2 b) x^5=9x^3 x^5 - 9x³ = 0 x³(x² - 9) = 0 x³(x - 3)(x + 3) = 0 x = 0 ∨ x = 3 ∨ x = -3 c) x^4=-27x^3 x^4 + 27x³ = 0 x³(x + 27) = 0 x = 0 ∨ x = -27 d) x^5=8x^3 x^5 - 8x³ = 0 x³(x² - 8) = 0 x³(x - 2√2)(x + 2√2) = 0 x = 0 ∨ x = 2√2 ∨ x = -2√2 e) x^5-16x=0 x(x^4 - 16) = 0 x(x² - 4)(x² + 4) = 0 x(x - 2)(x + 2)(x² + 4) = 0 x = 0 ∨ x = 2 ∨ x = -2 f) x^6-25x^2=0 x²(x^4 - 25) = 0 x²(x² - 5)(x² + 5) = 0 x²(x - √5)(x + √5)(x² + 5) = 0 x = 0 ∨ x = √5 ∨ x = -√5