## The Quadratic Equation

A quadratic equation is an equation of the form ax^2+bx+c=0, where a, b, and c are real numbers, and x is an unknown. The standard form of a quadratic equation is ax^2+bx+c=0, where a, b, and c are real numbers, and x is an unknown. The value of b in the quadratic equation is 2.

### What is the quadratic equation?

The quadratic equation is a polynomial equation in the form of:

ax^2 + bx + c = 0

where a, b, and c are coefficients and x is an unknown variable. The standard form of the quadratic equation is:

x = [-b ƒ± √(b^2 – 4ac)] / [2a]

where ƒ± represents “plus or minus.” The value of b^2 – 4ac is called the discriminant. If the discriminant is positive, then there are two real solutions. If the discriminant is zero, then there is one real solution. If the discriminant is negative, then there are no real solutions.

### How is the quadratic equation written in standard form?

The quadratic equation is usually written in the form:

ax^2 + bx + c = 0

where a, b, and c are coefficients and x is an unknown.

### What is the value of b in the quadratic equation?

The quadratic equation is written in standard form as ax^2 + bx + c = 0. The value of b in this equation is 2.

## The Quadratic Formula

The quadratic equation is usually written in the standard form: ax^2 + bx + c = 0. The value of b in this equation is 2. The value of a is 4ac. The value of c is 1/2x^2 + 7x.

### What is the quadratic formula?

The quadratic equation is a mathematical formula used to find the roots, or solutions, of a quadratic equation. The quadratic equation has the form ax^2 + bx + c = 0, where a, b and c are real numbers and x is an unknown. The quadratic equation can have one, two or no solutions depending on the value of the discriminant, b^2 – 4ac. If the discriminant is positive, then there are two solutions; if the discriminant is zero, then there is one solution; and if the discriminant is negative, then there are no solutions. The quadratic equation can be solved using the quadratic formula: x = (-b \pm \sqrt{b^2 – 4ac}})/(2a), where \pm denotes plus or minus. The value of b 2 – 4ac can be found by using the discriminate calculator below.

### How is the quadratic formula used to solve the quadratic equation?

The quadratic equation is a mathematical formula used to calculate the roots, or solutions, of a quadratic equation. The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are coefficients and x is an unknown variable. The roots of a quadratic equation can be calculated using the quadratic formula, which is: x = -b ± √(b^2 – 4ac) / 2a. The value of b^2 – 4ac is called the discriminant. If the discriminant is positive, then there are two real roots. If the discriminant is zero, then there is one real root. If the discriminant is negative, then there are no real roots.

### What are the values of a, b, and c in the quadratic equation?

In order to use the quadratic equation, you must first write the equation in standard form. The standard form of a quadratic equation is “ax^2 + bx + c = 0.” In this equation, a, b, and c are known as the coefficients of the quadratic equation. The value of a determines if the graph of the equation will be a parabola that opens upward or downward. The value of b determines the direction that the parabola will open. If b is positive, then the parabola will open upward. If b is negative, then the parabola will open downward. The value of c determines where on the y-axis the vertex of the graph will be located.

## The Discriminant

### What is the discriminant?

The discriminant of a quadratic equation is the square root of the sum of the squares of the coefficients of the terms in the equation multiplied by four. The sign of the discriminant tells you how many and what type of roots, or solutions, a quadratic equation has.

### How is the discriminant used to determine the number of solutions to the quadratic equation?

The discriminant is used to determine the number of solutions to the quadratic equation. The quadratic equation is typically written in the form: ax^2+bx+c=0. The discriminant is equal to b^2-4ac. If the discriminant is positive, then there are two distinct real solutions. If the discriminant is zero, then there is one real solution. If the discriminant is negative, then there are no real solutions.

### What are the values of a, b, and c in the discriminant?

The discriminant of a quadratic equation is the value of b2-4ac. In this equation, the values of a, b, and c are 1, 2, and 7 respectively. This means that the discriminant is equal to 2-4(1)(7), or -24.