To solve this equation, you can use the quadratic formula: x = (-b ± √(b^2-4ac)) / 2a. Plug in the values for a, b, and c from the given equation to find the two possible solutions for x.
The quadratic formula is a mathematical formula used to solve quadratic equations of the form ax^2+bx+c=0. It is x = (-b ± √(b^2-4ac)) / 2a, where a, b, and c are the coefficients of the quadratic equation.
1. Write the equation in standard form: ax^2+bx+c=0.
2. Identify the values for a, b, and c.
3. Plug in the values into the quadratic formula: x = (-b ± √(b^2-4ac)) / 2a.
4. Simplify the equation using basic arithmetic operations.
5. Solve for the two possible values of x.
Yes, there are other methods for solving quadratic equations such as factoring, completing the square, or using the quadratic formula. However, the quadratic formula is usually the most straightforward and reliable method for solving any quadratic equation.
A quadratic equation will have real solutions if the discriminant (b^2-4ac) is greater than or equal to zero. If the discriminant is negative, the equation will have imaginary solutions. If the discriminant is zero, the equation will have one real solution.