reigning question a2+b2=9 a+b=1 a4+b4=?
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1
Answer:
49
Step-by-step explanation:
(a+b)² = a² + b² + 2ab
1 = 9 + 2ab
=> 2ab = -8
=> ab = -4
a⁴+b⁴ = (a²+b²)² - 2a²b²
= 9² - 2*(-4)²
= 81 - 32
= 49.
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