Question

find x
$45x - {x}^{2} = 324$
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Answer 1

Step-by-step explanation:

$45x - {x}^{2} = 324$

${x}^{2} - 45x + 324 = 0$

${x}^{2} - 9x - 36x + 324 = 0$

$x(x - 9) - 36(x - 9) = 0$

$(x - 9)(x - 36) = 0$

$x = 9 \: ; \: x = 36$