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Solve for all real values of
x.

x^(2)-9=0
Answer:
x=

Solve for all real values of $x$ . $\newline$ $x^{2}-9=0$ $\newline$ Answer: $x=$ $\newline$

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Solve a quadratic equation using square roots

Full solution

Q. Solve for all real values of

x

.

\newline

x^{2}-9=0

\newline

Answer:

x=

\newline

Set up the equation: Set up the equation. $\newline$ We have the equation $x^{2} - 9 = 0$ . $\newline$ To solve for $x$ , we need to find the values that make this equation true.
Factor the left side: Factor the left side of the equation. $\newline$ The left side of the equation is a difference of squares, which can be factored into $(x + 3)(x - 3)$ . $\newline$ So, $x^{2} - 9 = (x + 3)(x - 3)$ .
Set each factor equal: Set each factor equal to zero. $\newline$ Since the product of the factors is zero, we can set each factor equal to zero and solve for $x$ . $\newline$ $x + 3 = 0$ or $x - 3 = 0$ .
Solve each equation for $x$ : Solve each equation for $x$ . For the first equation, $x + 3 = 0$ , we subtract $3$ from both sides to get $x = -3$ . For the second equation, $x - 3 = 0$ , we add $3$ to both sides to get $x = 3$ .

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