Question

factorization of x2(square)-24x-18=0
(Quadratic equation)

Answer 1

Answer:

${x}^{2} - 24x - 18 = 0 \\ add \: and \: subtract \: 144 \\ ({x }^{2} + 144 - 24x) - 18 - 144 = 0 \\ (x - 12)^{2} = 162 \\ taking \: square \: roots \: on \: both \: sides \\ (x - 12) = 9 \sqrt{2} \: and \: (x - 12) = - 9 \sqrt{2} \\ x = 12 + 9 \sqrt {2} \: and \: 12 - 9 \sqrt{2}$