Dam naj jeśli ktoś pomoże i punkty. Rozwiąż równania. A)(16-x^2)(x^2-x-6)=0. B)x^4-1=0. C)x^3+4x^2-2x-8=0.
Dam naj jeśli ktoś pomoże i punkty.
Rozwiąż równania.
A)(16-x^2)(x^2-x-6)=0.
B)x^4-1=0.
C)x^3+4x^2-2x-8=0.
A. (16 - x²)(x² - x - 6) = 0 (4 + x)(4 - x)(x² - 3x + 2x - 6) = 0 (4 + x)(4 - x) [x(x - 3) + 2(x - 3] = 0 (4 + x)(4 - x)(x + 2)(x - 3) = 0 4 + x = 0 v 4 - x = 0 v x + 2 = 0 v x - 3 = 0 x = -4 v x = 4 v x = -2 v x = 3 x ∈ {-4, -2, 3, 4} B. x⁴ - 1 = 0 x⁴ = 1 x = 1 C. x³ + 4x² - 2x - 8 = 0 x²(x + 4) - 2(x + 4) = 0 (x² - 2)(x + 4) = 0 (x + √2)(x - √2)(x + 4) = 0 x + √2 = 0 v x - √2 = 0 v x + 4 = 0 x = -√2 v x = √2 v x = -4 x ∈ {-4, -√2, √2}