Question

If a + b = 4 and ab = 1, then what is a² + b²​

Answer 1

hey there,

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

4^2=a^2+b^2+2

a^2+b^2=14

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Answer 2

Answer:

a+b= 4...(1)

ab= 1 ....(2)

squaring equation (1)

(a+b)²=(4)²

a²+b²+2ab=16

a²+b²+2(1)=16

a²+b²=16-2

a²+b²=14