Question

Решите графически уравнение √х=1/3х , пожалуйста

Answer 1

Вот, держи решение. Надеюсь, помогла :)

Answer 2

Solving the Equation Graphically: √x = 1/3x

To solve the equation √x = 1/3x graphically, we can plot the graphs of the two functions and find their intersection point. The equation can be rewritten as √x - 1/3x = 0.

Let's plot the graphs of the functions y = √x and y = 1/3x and find their intersection point.

The graph of y = √x is a curve that starts from the origin (0, 0) and increases as x increases. The graph of y = 1/3x is a straight line that passes through the origin (0, 0) and has a positive slope.

To find the intersection point, we need to find the x-coordinate where the two graphs intersect. Let's solve the equation √x - 1/3x = 0 to find the x-coordinate.

√x - 1/3x = 0

To solve this equation, we can square both sides:

(√x - 1/3x)^2 = 0^2

x - 2/3√x + 1/9x = 0

Multiplying through by 9x to eliminate the denominators:

9x^2 - 6√x + 1 = 0

Now, we can solve this quadratic equation to find the x-coordinate of the intersection point.

Unfortunately, I couldn't find a specific solution for this equation in the search results. However, I can provide you with general steps to solve quadratic equations like this one.

1. Write the equation in the form ax^2 + bx + c = 0. 2. Use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a). 3. Substitute the values of a, b, and c from the equation into the quadratic formula. 4. Simplify the expression inside the square root and calculate the values of x.

By following these steps, you should be able to find the x-coordinate of the intersection point.