Math, asked by ddssa, 1 month ago

if a+b=5 and ab=2, determine the value of a^4+b^4. show all calculations

Answers

Answered by jack301092

0

Step-by-step explanation:

a + b = 5

: (a + b)² = 5²

: a² + 2ab + b² = 25

: a² + b² + 2(2) = 25 (Since ab = 5)

: a² + b² + 4 = 25

: a² + b² = 21

: (a² + b²)² = 21²

: a⁴ + 2(ab)² + b⁴ = 441

: a⁴ + b⁴ + 2(2²) = 441

: a⁴ + b⁴ + 8 = 441

: a⁴ + b⁴ = 433

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