The root of quadratic equation is 13 find the  equation

To find a quadratic equation given that one of its roots is 13, we need to understand that if \( r \) is a root of a quadratic equation, the equation can be written in the form:

\[ (x - r)(x - s) = 0 \]

where \( r \) and \( s \) are the roots of the equation.

However, if only one root is given (in this case 13), and we assume the other root \( s \) is unknown, let's assume \( s = k \). This gives us the quadratic equation:

\[ (x - 13)(x - k) = 0 \]

Expanding this, we get:

\[ x^2 - (13 + k)x + 13k = 0 \]

If we don't know the value of \( k \), we can't determine the exact quadratic equation. If there are no additional constraints or information, the general form of the quadratic equation with one root 13 is:

\[ x^2 - (13 + k)x + 13k = 0 \]

Would you like to provide a specific value for the other root \( k \), or do you need further details?

If you have any questions or need further assistance, feel free to ask.

Here are some related questions you might want to explore:
1. How do you find the roots of a quadratic equation?
2. What is the quadratic formula?
3. How do you complete the square to solve a quadratic equation?
4. How do you derive the vertex form of a quadratic equation?
5. What are the properties of the discriminant in a quadratic equation?

**Tip:** When given one root of a quadratic equation, the other root can often be inferred from additional context or constraints. Always check for such information.

Learn how to find a quadratic equation when one of its roots is given as 13. Understand the concept of quadratic equations and how to apply it in this scenario. Suitable for Grades 10-12.

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