Question

x^2 - 8x - 65. Factorise​

Answer 1

${x}^{2} - 8x - 65 = 0$

${x}^{2} - 13x + 5x - 65 = 0$

$x(x - 13) + 5(x - 13) = 0$

$(x + 5)(x - 13) = 0$

$x + 5 = 0 \: \: \: ; \: \: \: \: x - 13 = 0$

$x = - 5,$

$x = 13$

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Answer 2

Answer:

x = -5 or 13

Step-by-step explanation:

$x^{2} - 8x - 65 =0\\x^{2} - (13-5)x - 65 = 0\\x^{2} - 13x + 5x -65 = 0\\x(x-13) + 5 (x-13) = 0\\(x+5) (x-13) = 0$

∴$x+5 = 0$    or    $x-13=0$

∴$x=-5$   or   $x=13$