Question

if x+1/x=3, x^2+1/x^3=4. find x^3+1/x^2

please answer in steps​

Answer 1

Answer:

if you should already know the answers because you're in second grade I'm in 6th grade and I'm better than you at math.No Offence

Step-by-step explanation:

if you should already know the answers because you're in second grade I'm in 6th grade and I'm better than you at math.No Offence

Answer 2

Answer:

2( $\sqrt{5}$+3)

Step-by-step explanation:

     x+1/x=3

or, (x^2+1)/x = 3

or, x^2+1 = 3x

or, x^2-3x+1 = 0

or, x^2-2.x.(3/2)+( 3/2)^2+1 = (3/2)^2

or, (x-1.5)^2+1 = 9/4

or, (x-1.5)^2 = (9/4)-1

or, (x-1.5)^2 = 5/4

or, (x-1.5) = $\sqrt{5}$/2

or,  x = ( $\sqrt{5}$/2)+(3/2)

so x = ( $\sqrt{5}$+3)/2

given figure =  x^3+1/x^2

                    = x( x^2+1/x^3)

                    =  {( $\sqrt{5}$+3)/2} x 4

                    = 2( $\sqrt{5}$+3)