Question

Find the values of a power 2 + b power 2 and a power 4 + b power 4 when a+b = 5 and ab= 4

Answer 1

Step-by-step explanation:

(a+b)=5

(a+b)² = 25

a² + 2ab +b² = 25

a² + b² = 25-8

a² + b² = 17

(a² + b²)² = 289

a^4 + 2a²b² + b^4 = 289

a^4 + b^4 = 289 - 2(16)

= 289-32

= 257