Question

if x= 4 - √15 find x^2+1/x^2​

Answer 1

Answer:

62

Step-by-step explanation:

X = 4 - √15

1/X = 1/4- √15 = 4 +√15

X^2 +1/x^2​ =  (4 - √15) ^2 +(4 + √15)^2

= 2(16 + 15)  (USING THE IDENTITY (A+B)^2 + (A- B)^2 = 2(A^2 + B^2)

= 2*31

= 62

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