4x^3 = 1.12x10^-12
x= 6.54 x 10^-5
what steps do you take to get that answer??
x^3 = .28 * 10^-12
then .28^(1/3) = .654
so x = .654 * 10^-4
x = 6.54 * 10^-5
To solve the equation 4x^3 = 1.12x10^-12, we can follow these steps:
Step 1: Divide both sides of the equation by 4.
Dividing by 4 gives us (4x^3) / 4 = (1.12x10^-12) / 4.
Simplifying, we get x^3 = 0.28x10^-12.
Step 2: Multiply both sides of the equation by 10^12.
Multiplying by 10^12 gives us (x^3) * 10^12 = (0.28x10^-12) * 10^12.
Simplifying, we have x^3 = 0.28.
Step 3: Take the cube root of both sides of the equation.
Taking the cube root gives us (x^3)^(1/3) = 0.28^(1/3).
This simplifies to x = 0.28^(1/3).
Step 4: Calculate the value of 0.28^(1/3) using a calculator.
Using a scientific calculator or an online calculator, we find that 0.28^(1/3) is approximately 0.6465.
Step 5: Consider the given value of x = 6.54 x 10^-5.
Since 0.6465 is not equal to 6.54 x 10^-5, we conclude that the given value of x is not a solution to the equation 4x^3 = 1.12x10^-12.
In summary, the correct value of x, which satisfies the equation 4x^3 = 1.12x10^-12, cannot be directly derived from the given information. The steps described above show the general process to solve this type of equation, but obtaining the specific value requires further calculations.