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11 votes
11 votes
The expressionx^2-9/x2+6x+8 is equal to zero when x = .

User MUHAMMAD ILYAS
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1 Answer

17 votes
17 votes

Hello !

Answer:

When x = -3 or x = 3

Explanation:


\frac{ {x}^(2) - 9}{ {x}^(2) + 6x + 8} = 0


\Leftrightarrow \frac{ {x}^(2) - 9 }{ {x}^(2) + 6x + 8} * ( {x}^(2) + 6x + 8) = 0 * ( {x}^(2) + 6x + 8)


\Leftrightarrow {x}^(2) - 9 = 0


\Leftrightarrow(x - 3)(x + 3) = 0


\Leftrightarrow \: x - 3= 0 \: or \: x + 3 = 0


\Leftrightarrow \: x = 3 \: or \: x = - 3


\boxed{S = {-3 \: \: or \: \: 3}}

User Pm Dubey
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