Rozwiąż równanie A) 81x ^2=25 B) 3x ^2-4x+1=0 Ć) -2x^2+4x-2=0 D)6x^2=-5x
Rozwiąż równanie
A) 81x ^2=25
B) 3x ^2-4x+1=0
Ć) -2x^2+4x-2=0
D)6x^2=-5x
A) 81x² = 25 81x² - 25 = 0 (9x - 5)(9x +5) = 0 9x - 5 = 0 lub 9x + 5 = 0 x = 5/9 lub x = - 5/9 B) 3x² - 4x + 1 = 0 Δ = (- 4)² - 4 * 3 * 1 = 16 - 12 = 4 √Δ = √4 = 2 x₁ = (4 - 2)/6 = 2/6 = 1/3 x₂ = ( 4 + 2)/6 = 6/6 = 1 C) - 2x² + 4x - 2 = 0 Δ = 4² - 4 * (- 2) * (- 2) = 16 - 16 = 0 x₁ = x₂ = - 4/(- 4) = 1 D) 6x² = - 5x 6x² + 5x = 0 x(6x + 5) = 0 x = 0 lub 6x + 5 = 0 x = 0 lub x = - 5/6