Question

4 = If x +1 /x = 3 find the value

a = x²+1/x ²

b=x⁴+1/ x⁴​

Answer 1

Answer:

a=9 and b=47

Step-by-step explanation:

given x+ 1/x= 3

square the equation on both sides

(x + 1/x)² =3²

x²+(1/x)²+2= 9

x²+(1/x)²= 7 = a

so we have a=7

now we have x²+(1/x)²= 7

sqaure the equation on both sides

x⁴+(1/x)⁴+2= 49

x⁴+(1/x)⁴ = 47 = b

so we have b= 47