how to explain this and solve this
equation Y=5x2-10x+9
i think its y=9
Online "^" is used to indicate an exponent e.g., x^2 = x squared.
Needs to be factored, but it cannot be factored as written. Do you have typos in your equation?
To explain and solve the equation Y = 5x^2 - 10x + 9, we'll go through the steps below:
Step 1: Understand the Equation:
The equation represents a quadratic function in the form of Y = ax^2 + bx + c. In this case, a = 5, b = -10, and c = 9. The goal is to find the value of Y for different values of x.
Step 2: Solve for Y:
You need to substitute different values of x into the equation to find the corresponding value of Y. For example, if x = 1, substitute it into the equation:
Y = 5(1)^2 - 10(1) + 9
Y = 5 - 10 + 9
Y = 4
So, when x = 1, Y = 4.
Step 3: Graphing the Equation:
To get a visual representation of the equation, you can graph it. Plot points by selecting different x-values and finding the corresponding Y-values. Connect the points with a smooth curve. Alternatively, you can use online graphing tools or software to generate the graph.
Step 4: Analyzing the Graph:
By observing the graph, you can determine the characteristics of the equation. For a quadratic function, the graph can either be a parabola opening upward (a > 0) or downward (a < 0). The vertex of the parabola is the maximum or minimum point, and the axis of symmetry is a line that divides the parabola into two symmetrical halves.
Step 5: Solving for x:
To solve the equation for specific values of Y, you need to use algebraic methods like factoring, completing the square, or using the quadratic formula. The solutions for x are the values where the equation equals the given Y-value.
These steps will help you understand and solve the equation Y = 5x^2 - 10x + 9. Remember to use the appropriate methods for solving equations based on the context and requirements.