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Natali5045456 [20]
3 years ago
9

Find the discriminant of the quadratic equation and indicate the number of roots: (3x^2)+2x+1=0

Mathematics
1 answer:
german3 years ago
4 0

Answer:

This expression has no roots.

Step-by-step explanation:

Using the discriminant: b² - 4ac, we get:

2² - 4 × 3 × 1

= 4 - 12

= -8

So this equation has no real solutions.  Let's prove that by trying to solve for x:

3x² + 2x + 1 = 0

9x² + 6x + 3 = 0

9x² + 6x + 1 = -2

(3x + 1)² = -2

3x + 1 = i√2

3x = -1 ± i√2

x = (-1 ± i√2) / 3

The only solutions available then are indeed complex.

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In my last answer, I wrote that it wasn't, but I realize now where my mistake was made.

When a number like positive 4 is squared, the answer is 16. When a number like negative 4 is squared, the answer is also 16. I think that the only time when two different squared numbers have the same result is when they are the same number but have a different positive/negative sign.

I hope this helps.

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4 years ago
Jayden’s new puppy weighed 11 1/4 pounds at 4 weeks old. At 16 weeks old, the puppy weighed 1 2/3 times more.
musickatia [10]

Answer:

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We just have to multiply 11 1/4 and 1 2/3 to get the product, 18.75 or 18 3/4.

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convert back to fraction:

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Hope This helps! Good Luck! If you have any questions please ask me, I would me more than happy to help you understand this method. If you are doing it a different way, I can help with that too.

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Answer:

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I hope this helps!

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3 years ago
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Please help with this problem
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The relationship between two variables is called their correlation. The closer the data points come when plotted to making a straight line, the higher the correlation between the two variables, or the stronger the relationship.

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