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labwork [276]
3 years ago
8

Given that f(x) = 5x2 − 100, find x.

Mathematics
2 answers:
DaniilM [7]3 years ago
5 0
5^2-100=X
(5*5)
 25-100=X
       -75=X

hope this helps
julia-pushkina [17]3 years ago
5 0

Answer:

Here we have that f(x) = 5x^2 - 100 and we want to find x, this would mean, isolate the value of x.

First, we add 100 in both sides of the equation to remove the leftmost therm:

f(x) + 100 = 5x^2 - 100 + 100 = 5x^2

Now, we divide by 5 in both sides.

(f(x) + 100)/5 = (5x^2)/5 = x^2

Now, we apply the square root in both sides:

(+/-)√((f(x) + 100)/5) = √x^2 = x

Now you have the value of x, when someone gives you the value of f(x), you can find the two values of x asociated with it (there are two values of x asociated because f(x) is a quadratic function

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The following rational equation has denominators that contain variables. for this equation, A. write the value or values of the
dsp73

Answer:

A. -4 and 4

B. No solution.

Step-by-step explanation:

The given equation is

\dfrac{3}{x+4}+\dfrac{2}{x-4}=\dfrac{16}{(x+4)(x-4)}

A.

Equate the denominators equal to 0 to find the restrictions on the variable.

x+4=0\Rightarrow x=-4

x-4=0\Rightarrow x=4

Therefore, x\neq -4,4.

B.

We have,

\dfrac{3}{x+4}+\dfrac{2}{x-4}=\dfrac{16}{(x+4)(x-4)}

\dfrac{3(x-4)+2(x+4)}{(x+4)(x-4)}=\dfrac{16}{(x+4)(x-4)}

Multiply both sides by (x-4)(x+4).

3x-12+2x+8=16

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Add 4 on both sides.

5x=16+4

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Divide both sides by 5.

x=4

Here the solution is x=4 but it is the restricted value.

Therefore, the given equation has no solution.

8 0
3 years ago
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