sophfernn sophfernn

20-01-2021
Mathematics

contestada

Factorise x2 - 5x – 24, and hence solve x2 - 5x – 24 = 0.

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ChoiSungHyun ChoiSungHyun

20-01-2021

Step-by-step explanation:

x² - 5x - 24 = (x - 8)(x + 3).

When x² - 5x - 24 = 0, (x - 8)(x + 3) = 0.

By Zero product rule, x - 8 = 0 or x + 3 = 0.

=> x = 8 or x = -3.

Answer Link

manissaha129 manissaha129

20-01-2021

Step-by-step explanation:

[tex] {x}^{2} - 5x - 24 \\ = {x}^{2} + 3x - 8x - 24 \\ = x(x + 3) - 8(x + 3) \\ = \boxed{(x + 3)(x - 8)} \\ when \\ {x}^{2} - 5x - 24 = 0 \\ (x + 3)(x - 8) = 0 \\ \boxed{x = - 3} \\ \boxed{x = 8}[/tex]

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