Answer:
x = -0.294
Step-by-step explanation:
Dividing:
[tex]\frac{-6x^3 + 3x^2 - 4}{2x - 3}[/tex]
We graph the two equation as attached below.
The point where the two graphs meet is (-0.294,-3.588)
So x = -0.294
To prove this; we substitute x in the equation with -0.294;
[tex]\frac{-6(-0.294)^3 + 3(-0.294)^2 - 4}{2(-0.294) - 3}[/tex]
We round of all results to three decimal places and it gives:
[tex]\frac{0.152 + 0.260 - 4}{-0.588 - 3}[/tex] = [tex]\frac{-3.588}{-3.588}[/tex] = 1
Since the quotient is 1 it means that the two graphs actually meet at point (-0.294,-3.588)
