Question

Jika X1 dan X2 adalah akar -akar persamaan 2X²+X-15 =0 nilai X1 ²×X2 ² +X2²×X1

Answer 1

2x² + x - 15 = 0
(2x - 5)(x+3)= 0
x = 5/2  atau x = -3

jika x₁>x₂ , x₁ = 5/2 , x₂ = - 3
x₁² x₂² + x₂² x₁ = (-15/2)² + (5/2)²(-3)= 225/4 - 75/4 = 150/4 = 37 ¹/₂

jika x₁ < x₂ --> x¹ = -3, x₂ = 5/2
x₁² x₂² + x₂² x¹ = (-15/2)² + (-3)²(5/2) = 225/4 + 45/2 = 78 ³/₄.