Mathematics: A⁴+b⁴=a²b² ,prove that a⁶+b⁶=0

A⁴+b⁴=a²b² ,prove that a⁶+b⁶=0 - id07482252, williamvh2001

Ответ:

Rusven

01.02.2022

$a^4+b^4=a^2b^2\\
a^4-a^2b^2+b^4=0\\
a^4-2a^2b^2+b^4+a^2b^2=0\\
(a^2+b^2)^2=-a^2b^2$

The only possible option is that $a^2+b^2=0 \wedge a^2b^2=0\\$ and this condition is met only when $a=0 \wedge b=0$ .

$0^6+0^6=0\\
0=0$

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Ответ:

onlymyworld27

23.05.2023

Mathematics

Step-by-step explanation:

Jane = x = 12yrs

Harvey = 3x = 36yrs

3x + x = 48

4x = 48

x = 12

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A⁴+b⁴=a²b² ,prove that a⁶+b⁶=0

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