Question

what is the positive solution to the equation 0=1/3x^2-3

Answer 1

Let's solve your equation step-by-step.0=13x2−3Step 1: Subtract 1/3x^2 from both sides.0−13x2 = 13x2−3−13x2−13x2 = −3Step 2: Divide both sides by (-1)/3.−13x2 − 13=− 3 −13x2 = 9Step 3: Take square root.x=±√9x=3 or x=−3Answer:x=3 or x=−3

Answer 2

You can use the simplified equation to find the solution.

The positive solution of given equation is x  = 3

What is a positive solution of given equation?

When we find the solution of the equation, we find the values of the variables for which the given equation is correct. Sometimes the values of the solutions comes out negative and sometimes positive and sometimes both or can be 0 too.

To find positive solutions, we only consider those solutions which are positive.

Simplification of the given equation

$0 = \dfrac{1}{3}x^2 - 3\\ \\ \text{Adding 3 on both sides}\\ \\ 3 = \dfrac{1}{3}x^2\\ \\ \text{Multiplying 3 on both sides}\\\\ 9 = x^2\\ \\\\ \text{taking square root}\\ 3 = \pm x\\ x = \mp 3 \\ (x = 3), (x = -3)$

Thus, x = 3, and x = -3 are the solutions to given equation.

The positive solution to the given equation is x = 3.

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