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Solve for all real values of
x.

x^(2)-16=0
Answer:
x=

Solve for all real values of $x$ . $\newline$ $x^{2}-16=0$ $\newline$ Answer: $x=$

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Solve a quadratic equation using square roots

Full solution

Q. Solve for all real values of

x

.

\newline

x^{2}-16=0

\newline

Answer:

x=

Set up the equation: Set up the equation. $\newline$ We are given the equation $x^{2} - 16 = 0$ . $\newline$ 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 as $(x + 4)(x - 4)$ . $\newline$ So, $x^{2} - 16 = (x + 4)(x - 4) = 0$ .
Use zero product property: Use the zero product property. $\newline$ If the product of two factors is zero, then at least one of the factors must be zero. $\newline$ Therefore, we set each factor equal to zero and solve for $x$ : $\newline$ $x + 4 = 0$ or $x - 4 = 0$ .
Solve for x: Solve each equation for x. $\newline$ For the first equation, $x + 4 = 0$ , we subtract $4$ from both sides to get $x = -4$ . $\newline$ For the second equation, $x - 4 = 0$ , we add $4$ to both sides to get $x = 4$ .

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