3 years ago

The quotient of 24 and x equals 14 minus 2 times x

Mathematics

1 answer:

vaieri [72.5K]3 years ago

5 0

Answer:

x = 3, x = 4

Step-by-step explanation:

Given

$\frac{24}{x}$ = 14 - 2x ( multiply through by x , x ≠ 0 )

24 = 14x - 2x² ( subtract 14x - 2x² from both sides )

2x² - 14x + 24 = 0 ( divide through by 2 )

x² - 7x + 12 = 0 ← in standard form

(x - 3)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 4 = 0 ⇒ x = 4

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