Question

a3+b3=20and a+b=5 then find a⁴+b⁴=?​

Answer 1

Step-by-step explanation:

a³+b³=20

a+b=5

(a+b)³= a³+b³+3ab(a+b)

(5)³= 20+3.a.b(5)

125-20=3.a.b.5

105=15ab

ab=105/15

ab=7

now ,

we'll find (a+b)²

(a+b)²=a²+b²+2ab

(5)²=a²+b²+2×7

10=a²+b²+14

a²+b²=14-10

a²+b²=4

now we find a⁴+b⁴

(a²+b²)²=a⁴+b⁴+2ab

(4)²=a⁴+b⁴+2×7

16=a⁴+b⁴+14

a⁴+b⁴=16-14

a⁴+b⁴=2

hope this helps

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Answer 2

Answer:

23 is the correct answer