# What does the quadratic formula give you?

## What does the quadratic formula give you?

2 Answers By Expert Tutors. The quadratic formula provides the roots (also called zeroes or x-intercepts) of a quadratic equation. A quadratic equation is a second-degree equation; its highest term is raised to the second power. Quadratic equations take the form of a parabola.

What are the three types of solutions for quadratics?

If the graph touches the x-axis at one point then we have one solution. If the graph does not intersect with the x-axis then the equation has no real solution. The following diagrams show the three types of solutions that a quadratic equation can have: two solutions, one solution and no real solution.

### What are the two solutions of a quadratic equation?

A quadratic equation has two solutions. Either two distinct real solutions, one double real solution or two imaginary solutions. All methods start with setting the equation equal to zero.

Around 700AD the general solution for the quadratic equation, this time using numbers, was devised by a Hindu mathematician called Brahmagupta, who, among other things, used irrational numbers; he also recognised two roots in the solution.

#### What are the 4 methods of factoring?

The four main types of factoring are the Greatest common factor (GCF), the Grouping method, the difference in two squares, and the sum or difference in cubes.

What are the four methods for solving quadratic equations?

The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.

## Why are there two solutions to quadratic equations?

A quadratic expression can be written as the product of two linear factors and each factor can be equated to zero, So there exist two solution.

How do you know if an equation has two solutions?

Given a quadratic equation ax2 + bx + c = 0, plug the coefficients into the expression b2 – 4ac to see what results: If you get a positive number, the quadratic will have two unique solutions. If you get 0, the quadratic will have exactly one solution, a double root.

### Who is the father of quadratic equations?

One of his principal achievements in algebra was his demonstration of how to solve quadratic equations by completing the square, for which he provided geometric justifications….Muhammad ibn Musa al-Khwarizmi.

Born c. 780 Khwarazm
Died After 847 (aged c. 70)

Who invented math?

Archimedes is known as the Father of Mathematics. Mathematics is one of the ancient sciences developed in time immemorial.

#### What are 5 methods of solving a quadratic equation?

There are several methods you can use to solve a quadratic equation: Factoring Completing the Square Quadratic Formula Graphing

• Factoring.
• Completing the Square.
• Graphing.

How do you find the solution of a quadratic equation?

While factoring may not always be successful, the Quadratic Formula can always find the solution. The Quadratic Formula uses the “a”, “b”, and “c” from “ax 2 + bx + c”, where “a”, “b”, and “c” are just numbers; they are the “numerical coefficients” of the quadratic equation they’ve given you to solve.

## Which method to solve a quadratic equation?

Method 1 of 3: Factoring the Equation. Combine all of the like terms and move them to one side of the equation.

• Method 2 of 3: Using the Quadratic Formula. Combine all of the like terms and move them to one side of the equation. Write down the quadratic formula.
• Method 3 of 3: Completing the Square. Move all of the terms to one side of the equation.
• What does the quadratic formula solve for?

The quadratic formula is used to solve for x in a quadratic function. It can be derived from using the general form of the quadratic equation, y = a x 2 + bx + c, by setting the equation = 0 and using the “completing the square” technique that we used in the previous less to solve for x.

### What is the quadratic formula used for?

The quadratic formula is used to solve a very specific type of equation, called a quadratic equation. These equations are usually written in the following form, where A, B, and C are constants and x represents an unknown.