persamaan dari 2x^2 - 5x +1 = 0 ,nilai darix1/x2 + x2/x1
Matematika
AYD29
Pertanyaan
persamaan dari 2x^2 - 5x +1 = 0 ,nilai darix1/x2 + x2/x1
1 Jawaban
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1. Jawaban hendrisyafa
2x² - 5x +1 = 0
x₁+x₂ = -b/a = 5/2
x₁.x₂ = c/a = 1/2
x₁/x₂ + x₂/x₁ = x₁²+x₂² / x₁x₂
= (x₁+x₂)²-2x₁.x₂ / x₁.x₂
= (5/2)²- 2 (1/2) / (1/2)
= (25/4 - 1) / (1/2)
= (25/4 - 1). 2
= 25/2 - 2
= 25/2 - 4/2
= 21/2
= 10 1/2