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3 years ago

If f(x) = x^2 - 4(x) + 6, find x if f(x) = 27

Mathematics

1 answer:

Elena L [17]3 years ago

4 0

Answer:

x = - 3 or x = 7

Step-by-step explanation:

Given

f(x) = x² - 4x + 6

If f(x) = 27, then equating gives

x² - 4x + 6 = 27 ( subtract 27 from both sides )

x² - 4x - 21 = 0 ← in standard form

Consider the factors of the constant term ( - 21) which sum to give the coefficient of the x- term ( - 4)

The factors are - 7 and + 3, since

- 7 × 3 = - 21 and - 7 + 3 = - 4, hence

(x - 7)(x + 3) = 0

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 7 = 0 ⇒ x = 7

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GrogVix [38]

Answer:

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Step-by-step explanation:

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2 years ago

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Basile [38]

Answer:

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Step-by-step explanation:

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3 years ago

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dalvyx [7]

Answer:

We have that:

$g(x) = \frac{x^2 - 6}{3*x + 10}$

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If we do that, we get:

$g(4) = \frac{4^2 - 6}{3*4 + 10}$

Now we can just solve this to get:

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3 years ago

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SCORPION-xisa [38]

Here are a few reasons:

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Not sure if this helped but I hope so!

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Step-by-step explanation:

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