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Nutka1998 [239]
4 years ago
13

Find the solutions to the equation below 25x^2-100=0

Mathematics
2 answers:
sineoko [7]4 years ago
6 0
X = 2 & -2
25x^2-100=0
25x^2=100
25x^2/25=100/25
X^2=4
√x^2=±√4
X=±2
AnnZ [28]4 years ago
4 0
You find the solution by collecting for 25:
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#2
I am Lyosha [343]

You have the right idea that things need to get multiplied.

What should be done is that the entire fraction needs to get multipled by the lowest common denominator of both denominators.

Let's look at the complex numerator. Its denominators are 5 and x + 6. Nothing is common with these, so both pieces are needed.

The complex denominator has x - 3 as its denominator. With nothing in common between it and the complex numerator, that piece is needed.

So we multiply the entire complex fraction by (5)(x + 6)(x -3).

Numerator: (\frac{1}{5} -\frac{5}{x + 6})(5)(x +6)(x-3) =\frac{1}{5}(5)(x +6)(x-3) -   \frac{5}{x + 6}(5)(x +6)(x-3)

= (x+6)(x-3) - (5)(5)(x-3)

= (x+6)(x-3) - 25(x-3)

= (x-3)(x + 6 - 25) <--- by group factoring the common x - 3

= (x -3)(x - 19)

Denominator:

\frac{25}{x - 3} * (5)(x + 6)(x - 3) = (25)(5)(x + 6) = 125(x + 6)


Now we put the pieces together.


Our fraction simplies to (x - 3) (x - 19) / 125 (x + 6)

5 0
3 years ago
Will mark brainliest and thank you!!! Please help!
borishaifa [10]

The solution to the equation is x = 0, 2

The graph is posted

hope that helps :)

5 0
4 years ago
A bird is at the top of a tree 8 meters tall. You are on the ground, 10 meters away from the bird. How far are you
Gwar [14]

Answer: 6 meters

Step-by-step explanation:

I had this question and got the answer right.

5 0
3 years ago
Given the function f(x)=X^2- 3x, find f(-4)
sladkih [1.3K]
Put -4 in place of x
-4 to the second power is 16 so it would be 16-(-12)= 28
5 0
2 years ago
AT the local zoo, the aquarium can be seen from the Reptile Room and the Amphibian Arena. What is the total area of both rooms a
BartSMP [9]

Answer:

The total area of both rooms and the aquarium is equal to 10,932 ft²

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

the length sides of Aquarium are

(83-32) x (72-52)-----> 51 ft x 20 ft

Area reptile room=(83*72)-area of aquarium----> 83*72-51*20---> 4,956 ft²

[ total area of both rooms]=2*4,956-----> 9,912 ft²

I'm assuming that the two areas are equal

Area of aquarium=51*20=1,020 ft²

therefore

the total area of both rooms and the aquarium is equal to

9,912 ft²+1,020 ft²=10,932 ft²

6 0
3 years ago
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