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svetlana [45]
3 years ago
6

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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Answer:

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<h3> I hoped this helps you ☺️☺️ </h3>

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8 0
3 years ago
Find the ordered pairs for the x- and y-intercepts of the equation 3x − 2y = 18 and select the appropriate option below.
horsena [70]
Pretty sure the answer is B
8 0
3 years ago
6) Solve for x. 2/3 (x + 7) = 10 <br><br> A)22 <br><br> B)8 <br><br> C)- 1 /3 <br><br> D)41/ 3
Amiraneli [1.4K]

For this case we must find the value of the variable "x" of the following equation:

\frac {2} {3} (x + 7) = 10

We multiply by 3 on both sides of the equation:

2 (x + 7) = 30

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We subtract 7 on both sides of the equation:

x = 8

Answer:

Option B

7 0
3 years ago
Can somebody explain Literal equations to solve for a given variable? i am so confused about it
anastassius [24]

The explanation of using Literal equations to solve for a given variable is as explained below.

How to solve Literal Equations?

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To solve a literal equation means to rewrite the equation so a different variable stands alone on one side of the equals sign. We have to be told for which variable we want to solve.

Linear equations in one variable may take the form ax + b = 0  and are solved using basic algebraic operations.

We begin by classifying linear equations in one variable as one of three types: identity, conditional, or inconsistent. An identity equation is true for all values of the variable.

Read more about Literal Equations at; brainly.com/question/1852246

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8 0
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Read 2 more answers
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