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malfutka [58]
2 years ago
5

How many real roots are in 10x^2 +3x+6=0

Mathematics
2 answers:
Stolb23 [73]2 years ago
7 0

Answer:

No Real Roots

Step-by-step explanation:

Hello!

To determine the types of roots a quadratic has, we can use the Discriminant.

Refer to the quadratic formula: x = \frac{-b\pm \sqrt{\bold{b^2 - 4ac}}}{2a}

The bolded part (b² - 4ac) is the Discriminant.

<h2>Determining the roots</h2>

  • Positive Discriminant gives us 2 roots that are real (can be rational or irrational)
  • Zero Discriminant gives us 1 root that is real and rational (can also be known as a double root)
  • Negative Discriminant gives us 2 roots that are not real, or imaginary.

We can plug in our values from the quadratic into the Discriminant Formula b² - 4ac.

<h3>Solve</h3>
  • b^2 - 4ac
  • 3^2 - 4(10)(6)
  • 9 - 240
  • -231

Since the discriminant is negative, there are two imaginary roots, or roots that don't exist.

The are no real roots for this quadratic.

Ket [755]2 years ago
4 0

Answer:

0

Step-by-step explanation:

Use the discriminant formula for parabola

{b}^{2}  - 4ac

{3}^{2}  - 4(10)(6)

9- 240

- 231

Since the answer is negative, we will have 2 imaginary roots so we won't have any real roots

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