Question

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

Answer 1

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}}`