Question

If x= 3+√3, find the value of 24x + x²-x³​

Answer 1

Answer:

30

Step-by-step explanation:

24x+ x²-x³​

=(24( 3+√3) ) + ( ( 3+√3) ( 3+√3) ) - ( ( 3+√3) ( 3+√3)( 3+√3) )

=(72 + 24√3) +( 9+3√3 +3√3+3) - ( 12+6√3 (3+√3) )

=72 +24√3 + ( 12+ 6√3) - (36 +18√3+12√3+18)

=72 + 24√3 +12 +6√3 -36 -18√3 - 12√3 -18

=84 -54 +30√3-30√3

=30 +0

=30