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 The curve cuts the x-axis at Now take Then plot these values on a graph sheet.
Find the corresponding
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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.
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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.
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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.
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.
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