Question

If a² + b² = 5 and a²b² = 3 find the value of a⁴ + b⁴

Please Provide Explanation
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Answer 1

Answer:

19

Step-by-step explanation:

a^4 + b^4

= (a^2)^2 + (b^2)^2

= (a^2 + b^2)^2 -- 2* a^2 * b^2

= (5)^2 - 2*3

= 25 - 6

= 19