Solve x(x - 5) = 24 by factorisation

Given, ⇒ x(x - 5) = 24 ⇒ x 2 - 5x = 24 ⇒ x 2 - 5x - 24 = 0 ⇒ x 2 - 8x + 3x - 24 = 0 ⇒ x(x - 8) + 3(x - 8) = 0 ⇒ (x + 3)(x - 8) = 0 ⇒ x + 3 = 0 and x - 8 = 0 ⇒ x = -3 and x = 8. Hence, x = -3 and x = 8.

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Mathematics

Solve the following equation by factorisation:
x(x - 5) = 24

Quadratic Equations

24 Likes

Answer

Given,

⇒ x(x - 5) = 24

⇒ x² - 5x = 24

⇒ x² - 5x - 24 = 0

⇒ x² - 8x + 3x - 24 = 0

⇒ x(x - 8) + 3(x - 8) = 0

⇒ (x + 3)(x - 8) = 0

⇒ x + 3 = 0 and x - 8 = 0

⇒ x = -3 and x = 8.

Hence, x = -3 and x = 8.

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Mathematics

Solve the following equation by factorisation:
x(x - 5) = 24

Quadratic Equations

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Mathematics

Solve the following equation by factorisation:x(x - 5) = 24

Quadratic Equations

Answer

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