Solve for all values of x. (x)/(9)=(9)/(x) Answer: x=

Cross-Multiply: Cross-multiply to eliminate the fractions. To solve the equation (x)/(9)=(9)/(x), we can cross-multiply to get rid of the fractions. This means we will multiply x by x and 9 by 9. Calculation: x * x = 9 * 9Simplify Equation: Simplify the equation. After cross-multiplying, we get x^2 = 81.Find Square Root: Find the square root of both sides of the equation. To solve for x, we take the square root of both sides of the equation. Remember that taking the square root of a number gives us two possible values: one positive and one negative. Calculation: x = ±√81Simplify Square Root: Simplify the square root. The square root of 81 is 9. Therefore, we have two possible solutions for x. Calculation: x = ±9

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Solve for all values of
x.

(x)/(9)=(9)/(x)
Answer:
x=

Solve for all values of $x$ . $\newline$ $\frac{x}{9}=\frac{9}{x}$ $\newline$ Answer: $x=$

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Math Problems

Grade 8

Powers with negative bases

Full solution

Q. Solve for all values of

x

\newline

\frac{x}{9}=\frac{9}{x}

\newline

Answer:

x=

Cross-Multiply: Cross-multiply to eliminate the fractions. $\newline$ To solve the equation $(\frac{x}{9}=\frac{9}{x})$ , we can cross-multiply to get rid of the fractions. This means we will multiply $x$ by $x$ and $9$ by $9$ . $\newline$ Calculation: $x \times x = 9 \times 9$
Simplify Equation: Simplify the equation. $\newline$ After cross-multiplying, we get $x^2 = 81$ .
Find Square Root: Find the square root of both sides of the equation. $\newline$ To solve for $x$ , we take the square root of both sides of the equation. Remember that taking the square root of a number gives us two possible values: one positive and one negative. $\newline$ Calculation: $x = \pm\sqrt{81}$
Simplify Square Root: Simplify the square root. $\newline$ The square root of $81$ is $9$ . Therefore, we have two possible solutions for $x$ . $\newline$ Calculation: $x = \pm9$