Question

if a^3+b^3=20 and a+b=5 then a^4+b^4=​

Answer 1

Answer:

ANSWER IS 23

Step-by-step explanation:

a + b = 5

=> a^2 + b^2 + 2ab = 25

a^3 + b^3 = 20

=> (a + b) (a^2 + b^2 - ab) = 20

=> 5 (a^2 + b^2 + 2ab - 3ab) = 20

=> 25 - 3ab = 4

=> 3ab = 21

=> ab = 7

a^2 + b^2 + 2ab = 25

=> a^2 + b^2 + 2(7) = 25

=> a^2 + b^2 = 11

=> a^4 + b^4 + 2a^2b^2 = 121

=> a^4 + b^4 + 2(ab)^2 = 121

=> a^4 + b^4 + 2(7)^2 = 121

=> a^4 + b^4 + 98 = 121

=> a^4 + b^4 = 23

Therefore, answer = 23

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Answer 2

Answer:

23

Step-by-step explanation:

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