# What are the steps for solving a quadratic equation?

## What are the steps for solving a quadratic equation?

Steps to solve quadratic equations by factoring: 1. Write the equation in standard form (equal to 0). 2. Factor the polynomial. 3. Use the Zero Product Property to set each factor equal to zero. 4. Solve each resulting linear equation.

## 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.
• How do you calculate the quadratic equation?

A quadratic equation is written as #ax^2+bx+c# in its standard form. And the vertex can be found by using the formula #-b/(2a)#. For example, let’s suppose our problem is to find out vertex (x,y) of the quadratic equation #x^2+2x-3# . 1) Assess your a, b and c values. In this example, a=1, b=2 and c=-3.

What is a quadratic program?

Quadratic programming (QP) is the process of solving a special type of mathematical optimization problem —specifically, a (linearly constrained) quadratic optimization problem, that is, the problem of optimizing (minimizing or maximizing) a quadratic function of several variables subject to linear constraints on these…

### How do you factor a quadratic?

Factoring Quadratic Equations Calculator. A quadratic equation is a polynomial equation of the second degree. The general form is ax 2 + bx + c = 0, where a ≠ 0. For factoring quadratic equations, you have to find two numbers that will not only multiply to equal the constant term ‘c’, but also add up to equal ‘b’, the coefficient on the x-term.

### What is the use of a quadratic equation?

Quadratic equations are actually used in everyday life, as when calculating areas, determining a product’s profit or formulating the speed of an object.