Question

$(2 + x)(7 - x) \div (5 - x)(4 + 1) = 1$
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Answer 1

Answer:

11, -1

Step-by-step explanation:

$\frac{(2 + x)(7 - x)}{(5 - x)(4 + 1)} = 1 \\ \frac{14 - 2x + 7x - {x}^{2} }{25 - 5x} = 1 \\ -x {}^{2} + 5x + 14 = 25 - 5x \\ {x}^{2} - 10x - 11 = 0 \\ {x}^{2} + 1x - 11x - 11 = 0 \\ x(x + 1) - 11(x + 1) = 0 \\ (x - 11)(x + 1) = 0 \\ x - 11 = 0 \\ x = 11 \\ x + 1 = 0 \\ x = - 1$