Which of the following is the product of the rational expressions shown below? x+2/X-4 * 3X/X+4

asked Dec 13, 2023 21.2k views

2 votes

Which of the following is the product of the rational expressions shown

below?
x+2/X-4 * 3X/X+4

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8 votes

Answer: x = 0; x=10

Explanation:

$(x+2)/(x-4) *(3x)/(x+4)\\ \\x+2(x+4) = x-4(3x)\\x^(2) +2x+ 4x + 8 = 3x^(2) -12x\\2x+4x+12x =3x^(2) - x^(2) \\20x= 2x^(2) \\10x = x^2\\x=0\\x=10$

Hope this helps!

Themaestro answered Dec 19, 2023

4.2k points

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