Question

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x^2 - 6x + 5 = 0

Answer 1

Answer:

${x}^{2} - 6x + 5 = 0\\ \\ {x}^{2} - (5 + 1)x + 5 = 0\\ \\ {x}^{2} - 5x - x + 5 = 0 \\ \\ x(x - 5) - 1(x - 5) \\ \\ (x - 5)(x - 1) = 0 \\ \\ \: \: \: \: x - 5 = 0 \\ x = 5 \\ \\ \\ x - 1 = 0 \\ x = 1$

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Answer 2

Answer:

$x {}^{2} - 6x + 5 = 0 \\ x {}^{2} + 5x + x + 5 = 0 \\ x(x + 5) + 1(x + 5) = 0 \\ (x + 5)(x + 1) = 0 \\ x + 5 = 0 \: \: \: x + 1 = 0 \\ x = - 5 \: \: \: \: \: x = - 1$

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