Question

if (a+b) = 6 and ab = 2, find the value of a⁴ +b⁴.​

Answer 1

Step-by-step explanation:

a⁴+b⁴=

(a²)²+(b²)²

(a²+b²)-(a²+b²)

(a+b)²-(a²+b²)= 36-36=0

a²+b²+2ab -(a²+b²-2ab)=0

2a²+2b²=0

so a⁴+b⁴= 0

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