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Iteru [2.4K]
3 years ago
14

For what values of x is rational expression below undefined x-7/x^2-7x-8

Mathematics
1 answer:
Novay_Z [31]3 years ago
8 0
The values are x = 8 and x = -1.

To find the undefined values, we need to know when the denominator is zero.
To do this, we need to factor it and find the value that would make either factor equal to zero.

If factors to: (x - 8)(x + 1)

Therefore, the undefined values would be at 8 and -1.
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Step-by-step explanation:

f(x) = x² + x + 3/4

in general, such a quadratic function is defined as

f(x) = a×x² + b×x + c

the solution for finding the values of x where a quadratic function value is 0 (there are as many solutions as the highest exponent of x, so 2 here in our case)

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 1

c = 3/4

x = (-1 ± sqrt(1² - 4×1×3/4))/(2×1) =

= (-1 ± sqrt(1 - 3))/2 = (-1 ± sqrt(-2))/2 =

= (-1 ± sqrt(2)i)/2

x1 = (-1 + sqrt(2)i) / 2

x2 = (-1 - sqrt(2)i) / 2

remember, i = sqrt(-1)

f(x) has no 0 results for x = real numbers.

for the solution we need to use imaginary numbers.

6 0
2 years ago
Read 2 more answers
What is the answer to this question?
melisa1 [442]

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7 0
3 years ago
Given the drawing below what is the difference between angle D and angle B​
sergey [27]

Answer:

well angle d equals 107 so the difference would be 62

Step-by-step explanation:

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3 years ago
Write an appropriate direct variation equation if y = 18 when x = 2
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Answer:

y=9x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In this problem we have

y=18 when x=2

Find the value of the constant of proportionality k

k=\frac{y}{x} ----> k=\frac{18}{2}=9

therefore

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6 0
2 years ago
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