7. Which of the following statements is true: (a) a²=b² ⇒a= b. (b) a²= 6²⇒a= -b. (c) a² = b²a³ = 6³ (a³ = a². a).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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7. Which of the following statements is true:
(a) a2 = b2a=b.
(b) a² = b2
a = -b.
(c) a² = b2 = d=b3 (a = a2.a).
Transcribed Image Text:段階的に解決し、 人工知能を使用せず、 優れた仕事を行います ご支援ありがとうございました SOLVE STEP BY STEP IN DIGITAL FORMAT DON'T USE AI DON'T USE AI DON'T USE AI | DON'T USE AI 7. Which of the following statements is true: (a) a2 = b2a=b. (b) a² = b2 a = -b. (c) a² = b2 = d=b3 (a = a2.a).
Expert Solution
Step 1: Part(a)

(a) : a2=b2a=b is not a true. 

Consider a counterexample: 

Let a=1,b=1 .Then a2=12=1=(1)2=b2a2=b2 but ab(as 11) .

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