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3 years ago

Solve 4/x + 8/x+2 = 4

Mathematics

1 answer:

Trava [24]3 years ago

7 0

Answer:

x = 0 and x = 3

Step-by-step explanation:

I will assume that you mean:

4 8

---- + --------- = 4

x x + 2

Here the LCD is x(x + 2).

Multiplying all 3 terms by x(x + 2), we get:

4(x + 2) + 8x = 4(x)(x + 2), or

4x + 8 + 8x = 4x^2 + 8x

Cancelling the 8x terms, we have:

12x = 4x^2, or 3x = x^2, or x^2 - 3x = 0.

Factoring, we get x(x - 3) = 0, which results in x = 0 and x = 3.

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Ulleksa [173]

Answer: -10, 10

Step-by-step explanation:

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2 years ago

David found and factored out the GCF of the polynomial 80b4 – 32b2c3 + 48b4c. His work is below. GFC of 80, 32, and 48: 16 GCF o

BlackZzzverrR [31]

Answer: The correct statements are

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

David applied the distributive property.

Step-by-step explanation:

GCF = Greatest common factor

1) GCF of coefficients : (80,32,48)

80 = 2 × 2 × 2 × 2 × 5

32 = 2 × 2 × 2 × 2 × 2

48 = 2 × 2 × 2 × 2 × 3

GCF of coefficients : (80,32,48) is 16.

2) GCF of variables :( $b^4,b^2,b^4$ )

$b^4$ = b × b × b × b

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$b^4$ =b × b × b × b

GCF of variables :( $b^4,b^2,b^4$ ) is $b^2$

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$=16b^2(5b^2-2c^3+3b^2c)$

David applied the distributive property.

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3 years ago

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