$ \Delta = (-3m)^2 - 4.1.(m^2-1) = 9m^2 - 4(m^2-1) = 9m^2 -4m^2 +4 = 5m^2 +4$
Để phương trình có hai nghiệm phân biệt thì $\Delta > 0$
Ta có $ 5m^2 \ge 0\ \to 5m^2+ 4 > 0 \to \Delta > 0$
$\to$ PT có hai nghiệm phân biệt với mọi $m$
$x²-3mx + m² -1=0$
PT có 2 no phân biệt ⇔ $a$ khác $0$: $Δ>0$
+ $a=1$ khác $0 ∀m$
+ $Δ=b²-4ac$
$= 9m²- 4(m²-1)$
$= 9m² - 4m² + 4$
$= 5m²+4 > 0 ∀m$
⇒ $∀m$ phương trình luôn có 2 no phân biệt
Mọi ng bỏ ít thời gian để giúp mình bài vật lí này vs ạ. Mình xin cảm ơn
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I heard a noise...i turned the light on
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