QUIZ
diketahui persamaan kuadrat tersebut kuadrat
[tex]u {}^{2} - u - 12 = 0[/tex]
maka tentukanlah:
[tex]a. \: u1 + u2 = \\ b. \: u1 \times u2 = \\ c. \: u1 {}^{2} + u2 {}^{2} = \\ d. \: \frac{1}{u1} + \frac{1}{u2} = \\ e. \: \frac{u1}{u2} + \frac{u2}{u1} = [/tex]
jawab pakai cara
diketahui persamaan kuadrat tersebut kuadrat
[tex]u {}^{2} - u - 12 = 0[/tex]
maka tentukanlah:
[tex]a. \: u1 + u2 = \\ b. \: u1 \times u2 = \\ c. \: u1 {}^{2} + u2 {}^{2} = \\ d. \: \frac{1}{u1} + \frac{1}{u2} = \\ e. \: \frac{u1}{u2} + \frac{u2}{u1} = [/tex]
jawab pakai cara
persamaan kuadrat
u² - u - 12 = 0
(u + 3)(u - 4) = 0
u1 = -3 atau u2 = 4
u1 + u2 = -3 + 4 = 1
u1 × u2 = -3 × 4 = -12
u1² + u2² = (-3)² + 4² = 25
1/u1 + 1/u2 = -1/3 + 1/4 = (-4 + 3)/12 = -1/12
u2/u1 + u1/u2
= -4/3 + -3/4
= (-16 - 9)/12
= -25/12