Write the ratio as a fraction in simplest form. 51:9

Mathematics

1 answer:

geniusboy [140]3 years ago

8 0

Answer:

The ratio of 51:9 in it's simplest form is 17:3.

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Find two positive numbers whose difference is 30 and whose product is 2584.

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Answer:

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Step-by-step explanation:

Let $x$ be the smaller one of the two number.

$x$ must be a positive integer. The other number would be $(x + 30)$ .

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The first root of this quadratic equation would be:

$\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}$ .