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.