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Andre45 [30]
3 years ago
13

Which of the following are solutions to the equation. 6x^2-2x+36=5x^2+10x

Mathematics
1 answer:
Oduvanchick [21]3 years ago
6 0

Answer:

x = 6

Step-by-step explanation:

Given

6x² - 2x + 36 = 5x² + 10x ( subtract 5x² + 10x from both sides )

x² - 12x + 36 = 0 ← in standard form

This is a perfect square of the form

(x - a)² = x² - 2ax + a²

36 = 6² ⇒ a = 6 and 2ax = (2 × 6)x = 12x, hence

(x - 6)² = 0

x - 6 = 0 ⇒ x = 6

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How many integers between 100 and 1000 have both 15 and 18 as factors?
Zanzabum

The numbers 180, 270, 360, 450, 540, 630, 720, 810, and 900 are the integers between 100 and 1000 that have both 15 and 18 as a factor.

<h3>What is an integer?</h3>

it is defined as the whole number it can be a negative whole number or a positive whole number for an example: 2, 4, 1, -8, 0, etc.

To find the how many integers between 100 and 1000 have both 15 and 18 as factors.

We must calculate the LCM of 15 and 18

The LCM for 15 and 18 is 90

Now the 90's multiple:

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The number which lies between 100 and 1000 are:

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Thus, the numbers 180, 270, 360, 450, 540, 630, 720, 810, and 900 are the integers between 100 and 1000 that have both 15 and 18 as a factor.

Learn more about the integers here:

here:brainly.com/question/15276410

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