https://file.aiquickdraw.com/mathbot/file/1727056012543fx2zjm45.jpg

The image shows the quadratic equation in standard form:

\[
ax^2 + bx + c = 0
\]

Here:
- \(a\), \(b\), and \(c\) are constants.
- \(x\) represents the variable.

This form of equation is commonly solved using the **quadratic formula**:

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

Alternatively, it can be solved by factoring or completing the square, depending on the values of \(a\), \(b\), and \(c\).

Would you like a detailed explanation of how to solve it or an example using specific values?

### Relative questions:
1. What is the quadratic formula used for?
2. How do you derive the quadratic formula from the standard form?
3. What methods can be used to factor a quadratic equation?
4. What does the discriminant \(b^2 - 4ac\) tell you about the nature of the solutions?
5. How can completing the square be applied to solve quadratics?

### Tip:
When using the quadratic formula, always calculate the discriminant \(b^2 - 4ac\) first to determine if the solutions are real, imaginary, or repeated.

The image contains the quadratic equation ax^2 + bx + c = 0. How do you solve it?

Discover how to solve the quadratic equation ax^2 + bx + c = 0 using the quadratic formula, factoring, and completing the square. Suitable for students in Grades 8-10, this explanation also explores the discriminant and its role in determining the nature of solutions.

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