Question

Determine the zeros of the quadratic function
f(x) = (x + 6)^2 – 9

Answer 1

`{ \huge{ \underline{ \rm{Given}}}}`

`{ \large{ \sf{f(x) = (x + 6) {}^(2) - 9 = 0}}}`

`{ \large{ \bf{ \underline{Formula = { \underline{a {}^(2) - b {}^(2) = (a + b)(a - b)}}}}}}`

`{ \large{ \sf{(x + 6) {}^(2) - (3) {}^(2) = 0}}}`

`{ \large{ \sf{(x + 6 + 3)(x + 6 - 3) = 0}}}`

`{ \large{ \sf{(x + 9)(x - 3) = 0}}}`

`{ \large{ \therefore{ \sf{Zeros = x ={ \boxed{ \sf( - 9 \: \: and \: - 3)}}} \: \: Ans.}}}`

Answer 2

-9 and -3

i hope this helps