6.22ast² - 43326ast + 35.3×10⁶ is a quadratic equation.find the ast value

To find the value of \( \text{ast} \) in the given quadratic equation \( 6.22\ast^2 - 43326\ast + 35.3 \times 10^6 = 0 \), we can use the quadratic formula:

\[
\ast = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
\]

Here, the coefficients are:
- \( a = 6.22 \)
- \( b = -43326 \)
- \( c = 35.3 \times 10^6 \)

Let's calculate the value of \( \text{ast} \).The solutions for the quadratic equation \( 6.22\ast^2 - 43326\ast + 35.3 \times 10^6 = 0 \) are:

1. \( \ast = 6023.395 \)
2. \( \ast = 942.200 \)

Would you like further details on the solution process or have any questions?

Here are 8 related questions to further explore the topic:

1. How is the discriminant of a quadratic equation calculated?
2. What does the discriminant tell us about the nature of the roots?
3. Can a quadratic equation have complex roots? If so, when?
4. How can the quadratic formula be derived from completing the square?
5. What is the vertex form of a quadratic equation?
6. How does the sign of the leading coefficient affect the graph of a quadratic function?
7. Can the quadratic formula be used for non-real coefficients?
8. What are some real-world applications of solving quadratic equations?

**Tip:** When solving quadratic equations, always check if the discriminant is positive, zero, or negative to determine the nature of the roots (real and distinct, real and equal, or complex).

Learn how to solve the quadratic equation 6.22ast^2 - 43326ast + 35.3×10⁶ with a detailed step-by-step solution. This problem covers key algebraic concepts, including the quadratic formula and discriminant calculation. Suitable for high school students.

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