Question

Побудуйте графік функції (х-6)2+(х+3)2=0. СРОЧНО!!!!!!!!!!

Answer 1

Це означение графика

Answer 2

Graph of the Function (x-6)^2 + (x+3)^2 = 0

To graph the function \( (x-6)^2 + (x+3)^2 = 0 \), we first need to understand the nature of the given equation. The equation represents the sum of the squares of two expressions equal to zero. However, it's important to note that the sum of squares of real numbers is always non-negative, and the only way for the sum of squares to be zero is if both individual squares are zero.

Upon analyzing the given equation, we find that it represents the sum of squares of two expressions, \( (x-6)^2 \) and \( (x+3)^2 \), equal to zero. This implies that both \( (x-6)^2 \) and \( (x+3)^2 \) must individually equal zero for the entire equation to be satisfied.

Let's solve for the values of \( x \) that satisfy the equation \( (x-6)^2 = 0 \) and \( (x+3)^2 = 0 \) to understand the nature of the graph.

Solving for x

1. For \( (x-6)^2 = 0 \): - The only solution to this equation is \( x = 6 \). 2. For \( (x+3)^2 = 0 \): - The only solution to this equation is \( x = -3 \).

Plotting the Points

The solutions to the given equation are \( x = 6 \) and \( x = -3 \). These are the x-coordinates of the points that satisfy the equation \( (x-6)^2 + (x+3)^2 = 0 \). Now, let's plot these points on the graph.

The point \( (6, 0) \) represents the solution \( x = 6 \), and the point \( (-3, 0) \) represents the solution \( x = -3 \).

Graph

Now, let's plot these points on the graph and connect them to visualize the function \( (x-6)^2 + (x+3)^2 = 0 \).

   ^
   |
   |
   |
   |             * (6, 0)
   |
   |
   |
   | * (-3, 0)
   ------------------------>

The graph of the function \( (x-6)^2 + (x+3)^2 = 0 \) is a straight line passing through the points \( (6, 0) \) and \( (-3, 0) \).

Conclusion

The graph of the function \( (x-6)^2 + (x+3)^2 = 0 \) is a straight line passing through the points \( (6, 0) \) and \( (-3, 0) \).