2x^3 - 250 = 0
x^3 = 125
x = 5 works
you do not say if you also do complex numbers
if so then
5
-2.5 sqrt 3 + 2.5 i
-2.5 sqrt 3 - 2.5 i
To solve the equation 2x^3 - 250 = 0, we need to find the value(s) of x that satisfy the equation. Here's how we can do that:
Step 1: Add 250 to both sides of the equation to isolate the polynomial term:
2x^3 = 250
Step 2: Divide both sides of the equation by 2 to solve for x^3:
x^3 = 125
Step 3: Take the cube root of both sides of the equation to solve for x:
∛(x^3) = ∛125
x = ∛125
Step 4: Simplify the cube root of 125:
x = 5
So the solution to the equation 2x^3 - 250 = 0 is x = 5.