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Find the zeros of the function. Enter the solutions from least to greatest. f(x)=(x-4)^(2)-25 lesser x= greater x=

Find the zeros of the function. Enter the solutions from least to greatest.\newlinef(x)=(x−4)2−25 f(x)=(x-4)^{2}-25 \newlinelesser x= x= \newlinegreater x= x=

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Transformations of absolute value functions: translations and reflectionsright chevron icon

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Q. Find the zeros of the function. Enter the solutions from least to greatest.\newlinef(x)=(x−4)2−25 f(x)=(x-4)^{2}-25 \newlinelesser x= x= \newlinegreater x= x=
  1. Find zeros of the function: Set the function equal to zero to find its zeros.\newlinef(x)=(x−4)2−25=0f(x) = (x - 4)^2 - 25 = 0
  2. Solve the quadratic equation: Solve the quadratic equation.\newline(x−4)2−25=0(x - 4)^2 - 25 = 0\newlineAdd 2525 to both sides to isolate the squared term.\newline(x−4)2=25(x - 4)^2 = 25
  3. Isolate the squared term: Take the square root of both sides.\newline(x−4)2=±25\sqrt{(x - 4)^2} = \pm\sqrt{25}\newlinex−4=±5x - 4 = \pm5
  4. Take the square root: Solve for x by adding 44 to both sides of the equation.\newlineFor the positive root:\newlinex−4+4=5+4x - 4 + 4 = 5 + 4\newlinex=9x = 9\newlineFor the negative root:\newlinex−4+4=−5+4x - 4 + 4 = -5 + 4\newlinex=−1x = -1
  5. Solve for x: Write the solutions in ascending order.\newlinelesser x=−1x = -1\newlinegreater x=9x = 9

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