please help
#how to solve? someone pleasse help me
fossil totem
late spoke
please help
First, divide both sides by 2.
(2x + 1)^(1/3) = (x^3 - 1)/2
We now notice that the left and right sides are inverse functions of each other. That means that all the solutions must lie on the line y = x.
Thus, we just need to pick a side, equate it to x and solve the resulting equation. Let's pick the rational one: (x^3 - 1)/2. Since both sides are bijective functions from ℝ to ℝ, there is no need to worry about checking for erroneous solutions.
(x^3 - 1)/2 = x
x^3 - 2x - 1 = 0
Using the integer root theorem, we get candidates x = -1, x = 1. x = -1 works.
So, now factor out (x + 1) from the right side and you will get a quadratic equation. It will have two solutions, so there are three in total.
fossil totem
First, divide both sides by 2.
(2x + 1)^(1/3) = (x^3 - 1)/2
We now notice that t...
thank you
exotic berryBOT
@fossil totem has given 1 rep to @late spoke