Final answer:
The question involves solving a quadratic equation, but the provided equation contains errors. However, using methods like the quadratic formula, factoring, or completing the square can solve a standard quadratic equation. It's also vital to simplify the equation and check the solutions for reasonableness.
Step-by-step explanation:
The question seems to involve finding the solutions to a quadratic equation, although the equation provided contains typographical errors that make it unclear. However, based on the reference information provided, we can explain the general process of solving quadratic equations.
To solve a quadratic equation in the form of ax² + bx + c = 0, you can:
1. Use the quadratic formula which is x = (-b ± √(b² - 4ac)) / (2a). This formula derives from the process of completing the square and provides two solutions for x based on the discriminant value (b² - 4ac).
2. Factor the quadratic equation, if possible, into its binomial components and solve for x where each factor equals zero.
3. Complete the square to rearrange the equation into a perfect square trinomial and then solve for x by taking the square root.
Whether by factoring, completing the square, or using the quadratic formula, it's also essential to:
- Eliminate terms wherever possible to simplify the equation.
- Check the answer for reasonableness after finding the solutions.
Practice Problems
As an illustration, consider a typical quadratic equation of the form x² + px + q = 0. To solve it:
- Identify a, b, and c where a = 1, b = p, and c = q.
- Insert these values into the quadratic formula and simplify.
- Find the two possible values of x that satisfy the equation.