Quadratic equations are equations involving polynomials of degree two - the second degree equation. They have the general form ax2 + bx + c = 0, and can often be solved with the quadratic formula. In this tutorial, we will discuss how to solve a quadratic equation with coefficients d x2 x1 2 y2 y1 2.

## Understanding the Quadratic Equation

A quadratic equation is one of the fundamental equations of algebra. It is an equation that can be written as ax2 + bx + c = 0, where a, b and c are real numbers and a ≠ 0. The solutions of this equation are called roots, and these solutions can be found using the quadratic formula.

## Using the Quadratic Formula

The quadratic formula is a method for solving quadratic equations. It takes the form of:

### x = [-b ± √(b2 - 4ac)] / 2a

Where a, b, and c are the coefficients of the quadratic equation: ax2 + bx + c = 0. This formula can be used to solve a quadratic equation with coefficients d x2 x1 2 y2 y1 2 by substituting these coefficients into the quadratic formula.

For example, d x2 x1 2 y2 y1 2 can be written as 2x2 + x - 2y2 - y = 0. We can then substitute this equation into the formula, and solve for x:

### x = [-(-1) ± √(-12 - 8)] / 4

### x = [1 ± √(-4)] / 4

Therefore, the solutions of this equation are

### x = (1 ± 2i) / 4

## FAQ

##### What is a quadratic equation?

A quadratic equation is an equation of the form ax2 + bx + c = 0, where a, b, and c are real numbers, and a ≠ 0. These equations can be solved using the quadratic formula.

##### What is the quadratic formula?

The quadratic formula is a formula that can be used to solve a quadratic equation. It takes the form of x = [-b ± √(b2 - 4ac)] / 2a.

##### How do you solve a quadratic equation with coefficients d x2 x1 2 y2 y1 2?

To solve this equation, start by writing the equation in the form of ax2 + bx + c = 0. Then, substitute these coefficients into the quadratic formula and solve for x. The solutions will be of the form x = (1 ± 2i) / 4.

##### What is the degree of quadratic equations?

Quadratic equations are equations of degree 2 - the second degree equation.

##### Are there other methods for solving quadratic equations?

Yes, there are a number of other methods for solving quadratic equations, such as completing the square, factorization, and graphing.

## Conclusion

Solving a quadratic equation with coefficients d x2 x1 2 y2 y1 2 can be done using the quadratic formula. This formula takes the form of x = [-b ± √(b2 - 4ac)] / 2a, where a, b, and c are the coefficients of the equation. Once these coefficients are substituted into the equation, the solution of the equation will be of the form x = (1 ± 2i) / 4. There are also other methods for solving quadratic equations, such as completing the square, factorization, and graphing.