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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)2−25f(x)=(x+4)^{2}-25\newlinelesser x=x= greater x=x=

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Full solution

Q. Find the zeros of the function. Enter the solutions from least to greatest.\newlinef(x)=(x+4)2−25f(x)=(x+4)^{2}-25\newlinelesser x=x= greater x=x=
  1. Find the zeros: Set the function equal to zero to find the zeros. f(x)=(x+4)2−25=0f(x) = (x + 4)^2 - 25 = 0
  2. Factor the equation: Factor the equation using the difference of squares.\newline(x+4)2−25=(x+4+5)(x+4−5)(x + 4)^2 - 25 = (x + 4 + 5)(x + 4 - 5)\newline(x+4+5)(x+4−5)=(x+9)(x−1)(x + 4 + 5)(x + 4 - 5) = (x + 9)(x - 1)
  3. Solve for x: Set each factor equal to zero and solve for x.\newlinex+9=0x + 9 = 0 or x−1=0x - 1 = 0\newlinex=−9x = -9 or x=1x = 1
  4. Write the solutions: Write the solutions in ascending order.\newlinelesser x=−9x = -9\newlinegreater x=1x = 1

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