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12 October, 02:01

Let f (x) = x 2 + 6 x + 6 f (x) = x 2 + 6 x + 6, and g (x) = 1 g (x) = 1. Find all values for the variable x x, for which f (x) = g (x) f (x) = g (x).

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  1. 12 October, 02:22
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    Therefore the value of x are = - 1 and - 5 for which f (x) = g (x).

    Step-by-step explanation:

    Given,

    f (x) = x²+6x+6 and g (x) = 1

    f (x) = g (x)

    ⇒x²+6x+6=1

    ⇒x²+6x+6-1=0

    ⇒x²+6x+5=0

    ⇒x²+5x+x+5=0

    ⇒x (x+5) + 1 (x+5) = 0

    ⇒ (x+5) (x+1) = 0

    ⇒x+5=0 or x+1=0

    ⇒x=-5 x=-1

    Therefore the value of x are = - 1 and - 5.
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