Let a and b be the solutions to 5x^2 - 11x + 4 = 4x^2 - 17x + 6. Find 1/a^3 + 1/b^3.

Hi6942O May 20, 2024

#1**+1 **

subtract 4x^2 from both sides

- get 1x^2

-add 17x on both sides = get 6x on the left side

-subtract 6 from both sides = -2 on the right side

if you do this you SHOULD get ,

x^2 + 6x - 2 = 0

plug into quadratic formula (search up) : where ax^2 + bx + c is the formate ( a = 1. b = 6 c = -2 )

we should get the solution: -3+sqrt(11) or -3-sqrt(11) and they represent a and b

1/ (-3+sqrt(11))^3 + 1/ (-3-sqrt(11))^3 = 63/2 or 31.5

see if you can get it!

and someone please check my work

breadstickim01 May 20, 2024