If f(x) = (x - 3)2 , find all values of x for which f(x) = 36.

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01-01-2017
Mathematics

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If f(x) = (x - 3)2 , find all values of x for which f(x) = 36.

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olemakpadu olemakpadu · Answer 1 · 2017-01-01T11:46:06+01:00

olemakpadu olemakpadu

01-01-2017

f(x) = (x - 3)²,

For f(x) = 36

(x - 3)² = 36

Take the square root of both sides

√(x - 3)² = √36

(x - 3) = +6 or - 6

x = 3 + 6 or 3 - 6

x =9 or - 3

The values of x are -3 and 9.

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