Which of the following is a complete set of real solutions to the equation 2x3−3x2+8x−9=3
?(1 point)
Responses
1.5
1.5
−1.5
, 2, −2
negative 1.5 , 2, negative 2
1.5, 2, −2
1.5, 2, negative 2
no solutions
To find the real solutions to the equation 2x^3 - 3x^2 + 8x - 9 = 3, we need to solve for x.
2x^3 - 3x^2 + 8x - 9 = 3
Rearranging the equation:
2x^3 - 3x^2 + 8x - 12 = 0
We can see that there is no rational solution to this equation. Therefore, we can conclude that there are no real solutions to this equation. Thus, the correct answer is "no solutions".