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Find the zeros of the function. Enter the solutions from least to greatest.

f(x)=(x+6)^(2)-16
lesser
x=
greater
x=

Find the zeros of the function. Enter the solutions from least to greatest. $\newline$ $f(x)=(x+6)^{2}-16$ $\newline$ lesser $x=$ $\newline$ greater $x=$

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Evaluate exponential functions

Full solution

Q. Find the zeros of the function. Enter the solutions from least to greatest.

\newline

f(x)=(x+6)^{2}-16

\newline

lesser

x=

\newline

greater

x=

Set Function Equal to Zero: Set the function equal to zero to find its zeros. $\newline$ $f(x) = (x+6)^2 - 16 = 0$
Solve Equation for x: Solve the equation $(x+6)^2 - 16 = 0$ by moving $16$ to the other side. $\newline$ $(x+6)^2 = 16$
Take Square Root: Take the square root of both sides of the equation to solve for $x$ . $\sqrt{(x+6)^2} = \pm\sqrt{16}$ $x + 6 = \pm4$
Solve for x (Positive Case): Solve for x by subtracting $6$ from both sides of the equation for both the positive and negative cases. $\newline$ For the positive case: $\newline$ $x + 6 - 6 = 4 - 6$ $\newline$ $x = -2$
Solve for x (Negative Case): Solve for x by subtracting $6$ from both sides of the equation for the negative case. $\newline$ For the negative case: $\newline$ $x + 6 - 6 = -4 - 6$ $\newline$ $x = -10$

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