³log(x²-6+x)=0, tentukan:a. x1 + x2b. x1 . x2c. x1² + x2²d. x1³ . x2³
logaritma
³log (x² – 6 + x) = 0
x² – 6 + x = 1
x² + x – 7 = 0
x1 + x2 = -b/a = -1/1 = -1
x1.x2 = c/a = -7/1 = -7
x1² + x2²
= (x1 + x2)² – 2x1x2
= 1 – 2(-7)
= 15
x1³ + x2³
= (x1 + x2)(x1² + x2² + x1x2)
= -1(15 + (-7))
= -8