Theory of Intelligence
11TH•Mathematics•Theory Of Quadratic Functions•Question 4

Solution

Solve the following absolute value quadratic equations and inequalities:

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Solution

Use the facts:

  • ∣A∣=b (b≥0)⇒A=b or A=−b|A|=b\ (b\ge 0) \Rightarrow A=b\ \text{or}\ A=-b
  • ∣A∣<b (b>0)⇒−b<A<b|A|<b\ (b>0) \Rightarrow -b<A<b
  • ∣A∣>b (b≥0)⇒A>b or A<−b|A|>b\ (b\ge 0) \Rightarrow A>b\ \text{or}\ A<-b

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