Question

factorise X square -5x -300​

Answer 1

ANSWER➡

$\sf\huge\ x = 20 \: and \: - 15$

EXPLANATION➡

$\sf\ {x}^{2} - 5x - 300 = 0 \\ \\ \sf\ \implies: {x}^{2} - (20x - 15x) - 300 = 0 \\ \\ \sf\ \implies: {x}^{2} - 20x + 15x - 300 = 0 \\ \\ \sf\ \implies: x(x - 20) + 15(x - 20) = 0 \\ \\ \sf\ \implies: (x - 20)(x + 15) = 0 \\ \\ \bf\ x - 20 = 0 \\ \sf\boxed{ \implies: x = 20} \\ \\ \bf\ x + 15 = 0 \\ \sf\boxed{ \implies: x = - 15}$

Answer 2

Given,

=x²-5x-300

=x²+15x-20x-300

=x(x+15)-20(x+15)

=(x+15)(x-20)

x=-15 OR x=20

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