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2 years ago

What is the least common denominator of 1/2, 2/3 and 3/4

Mathematics

1 answer:

Vinil7 [7]2 years ago

7 0

Answer:

6/12, 8/12, and 9/12.

Step-by-step explanation:

Let's find the least common denominator:

First, the least common multiple of 2, 3, and 4 is 12.

12 is divisible by 2, 3, and 4.

<u>Next, multiply the denominators with the numerators:</u>

Products: 6/12, 8/12, and 9/12

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Line 1

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Line 5

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2x² - 5x+1 has roots alpha and beta. Find alpha⁴+beta⁴ without solving the equation.

shepuryov [24]

Answer:

Step-by-step explanation:

$\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\$

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2 years ago

What is the least common denominator of 1/2, 2/3 and 3/4￼

What is the least common denominator of 1/2, 2/3 and 3/4