# How do you solve #1/3x^2 - 3=0# by graphing?

Refer the Explanation section

Given -

#1/3 x^2-3=0#

We shall have it as -

#y=1/3 x^2-3#

To graph the function, we must have the range of x values the includes solutions.

Find the two x-intercepts first

At

#x^2=-=3 xx 3/1=9#

#x=+-sqrt9#

#x=3#

#x=-3#

The curve cuts the x-axis at

Now take

Find the corresponding

Then plot these values on a graph sheet.

By signing up, you agree to our Terms of Service and Privacy Policy

Plot the graph of

graph{1/3x^2-3 [-3.51, 3.513, 7.023, 7.024]}

Thus, this concludes our response to your query.

Naturally, we can demonstrate this observation by solving the equation algebraically.

By signing up, you agree to our Terms of Service and Privacy Policy

To solve ( \frac{1}{3}x^2 - 3 = 0 ) by graphing, follow these steps:

- Rewrite the equation as ( \frac{1}{3}x^2 = 3 ).
- Multiply both sides by 3 to get ( x^2 = 9 ).
- Take the square root of both sides to solve for x, giving you ( x = \pm 3 ).
- Plot the points (3, 0) and (-3, 0) on the graph.
- Draw a parabolic curve passing through these points. The curve represents the solutions to the equation ( \frac{1}{3}x^2 - 3 = 0 ).
- The x-intercepts of the curve at ( x = 3 ) and ( x = -3 ) are the solutions to the equation.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7