Question

Bila x1 dan x2 adalah akar akar persamaan x2+3x-1 hitunglah nilai x1/x2 +x2/x1

Answer 1

Komposisi: (Dari -b/a dan c/a)
x₁+x₂ = -3
x₁x₂ = -1
Didapat:
x₁/x₂ + x₂/x₁
= (x₁²+x₂²)/x₁x₂
= ( (x₁+x₂)²-2x₁x₂ ) / x₁x₂
= ( (-3)²-2(-1) ) / (-1)
= (9+2)/(-1)
= -11