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3 years ago

The solution to x2 – 10x = 24 is

Mathematics

2 answers:

Marat540 [252]3 years ago

8 0

Answer:

x = - 2, x = 12

Step-by-step explanation:

Given

x² - 10 x = 24 ( subtract 24 from both sides )

x² - 10x - 24 = 0 ← in standard form

To factorise the quadratic

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 12 and + 2, since

- 12 × 2 = - 24 and - 12 + 2 = - 10, thus

(x - 12)(x + 2) = 0

Equate each factor to zero and solve for x

x - 12 = 0 ⇒ x = 12

x + 2 = 0 ⇒ x = - 2

Levart [38]3 years ago

8 0

Answer:

12 or -2

Step-by-step explanation:

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