25x^3-55^2-60=
To solve the equation 25x^3 - 55^2 - 60 = 0, you need to find the value(s) of x that satisfy this equation. Let's break it down step by step.
1. Simplify: Start by simplifying the equation by evaluating the exponent and performing the arithmetic operations.
25x^3 - 3025 - 60 = 0
2. Combine like terms: Combine the terms without variables (constants) together.
25x^3 - 3085 = 0
3. Move constants to the other side: Since we want all the terms on one side of the equation to be zero, we need to move the constant term (-3085) to the other side of the equation.
25x^3 = 3085
4. Isolate the variable: To solve for x, isolate the variable by dividing both sides of the equation by 25.
x^3 = 3085/25
5. Simplify: Divide 3085 by 25 to get:
x^3 = 123.4
6. Find the cube root: To find the value of x, you need to take the cube root of both sides of the equation.
x = ∛(123.4)
7. Calculate the cube root: Using a calculator or computational tool, calculate the cube root of 123.4. This will give you the value(s) of x that satisfy the equation.
x ≈ 4.964
Therefore, the approximate value of x that solves the equation 25x^3 - 55^2 - 60 = 0 is x ≈ 4.964.