Question

Suppose you are a solving a quadratic equation using the quadratic

Answer 1

It seems like your message got cut off! However, I can help you understand how to solve a quadratic equation using the quadratic formula.

The quadratic formula is:
\[
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
\]

where \( ax^2 + bx + c = 0 \) is the standard form of a quadratic equation, with:
- \( a \) being the coefficient of \( x^2 \),
- \( b \) being the coefficient of \( x \),
- \( c \) being the constant term.

Here's how to use the quadratic formula step-by-step:

1. **Identify coefficients**: Determine the values of \( a \), \( b \), and \( c \) from the quadratic equation.

2. **Calculate the discriminant**: Compute \( b^2 - 4ac \). The discriminant tells you about the nature of the roots:
- If it's positive, there are two distinct real roots.
- If it's zero, there is exactly one real root (a repeated root).
- If it's negative, there are two complex roots.

3. **Apply the quadratic formula**: Substitute \( a \), \( b \), and the calculated discriminant into the quadratic formula to find the values of \( x \).

4. **Simplify**: Simplify the expression under the square root and compute the final values of \( x \).

If you have a specific quadratic equation you'd like to solve, feel free to share it, and I can help you work through the solution!