Solving the Equation: 10x2 - 1000 = 0
In this article, we will explore the solution to the equation 10x2 - 1000 = 0. This equation may seem complex at first, but with the right steps, we can break it down and find the value of x.
Understanding the Equation
The given equation is a quadratic equation, which means it can be written in the form of ax^2 + bx + c = 0, where a, b, and c are constants. In this case, the equation is 10x2 - 1000 = 0.
Simplifying the Equation
To simplify the equation, we can start by evaluating the expression inside the parentheses. In this case, we have 10x2, which can be written as 20x.
So, the equation becomes:
20x - 1000 = 0
Solving for x
To solve for x, we can add 1000 to both sides of the equation, which gives us:
20x = 1000
Next, we can divide both sides of the equation by 20, which gives us:
x = 1000/20
x = 50
Conclusion
Therefore, the value of x is 50. The equation 10x2 - 1000 = 0 has a single solution, which is x = 50.
By following these steps, we have successfully solved the equation and found the value of x. This demonstrates the importance of breaking down complex equations into simpler forms and using algebraic manipulations to find the solution.
