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drek231 [11]
2 years ago
9

Please, someone. Solve for x.

Mathematics
1 answer:
grin007 [14]2 years ago
7 0

Combine the fractions on the left side:

9/(x + 2) + 2/(x - 2) = 1

9 (x - 2) / ((x + 2) (x - 2)) + 2 (x + 2) / ((x + 2) (x - 2)) = 1

(9x - 18) / ((x + 2) (x - 2)) + (2x + 4) / ((x + 2) (x - 2)) = 1

(9x - 18 + 2x + 4) / ((x + 2) (x - 2)) = 1

(11x - 14) / ((x + 2) (x - 2)) = 1

Recall the difference of squares identity,

a² - b² = (a + b) (a - b)

which lets us simplify the denominator on the left side as

(11x - 14) / (x² - 4) = 1

For any real numbers a and b, if a/b = 1, then a = b. This means

11x - 14 = x² - 4

which we can rearrange as

x² - 11x + 10 = 0

Factorize the left side:

(x - 10) (x - 1) = 0

Then

x - 10 = 0   or   x - 1 = 0

x = 10   or   x = 1

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3 0
3 years ago
Wich are factors of 31
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Does someone mind helping me with this question? Thank you!
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4 0
1 year ago
jonathan has a collection of 400 marbles. Blue marbles make up17%, percent of his collection. How many blue marbles does Jonatha
dsp73
17% of 400 is 68.
Another way u can do it is 17% of 100 four times since its easier to do. 
17% of 100 is 17.
we have to do this 4 times since 100 goes into 400 four times.
So 17*4 =68
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