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QUESTION 31
4. What is the positive solution to the equation
0=(1)/(3)x^(2)-3 ?

QUESTION $31$ $\newline$ $4$ . What is the positive solution to the equation $0=\frac{1}{3} x^{2}-3$ ?

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Evaluate rational exponents

Full solution

Q. QUESTION

31

\newline

4

. What is the positive solution to the equation

0=\frac{1}{3} x^{2}-3

?

Rewrite equation: Rewrite the equation to isolate $x^2$ . $\newline$ $\frac{1}{3}x^2 = 3$
Multiply by $3$ : Multiply both sides by $3$ to get rid of the fraction. $x^2 = 3 \times 3$
Calculate $x^2$ : Calculate the right side. $x^2 = 9$
Take square root: Take the square root of both sides to solve for $x$ . $x = \pm\sqrt{9}$
Calculate $x$ : Calculate the square root. $x = \pm 3$
Choose positive solution: Choose the positive solution as the question asks for the positive solution. $x = 3$

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