# What are the three ways to solve a quadratic equation?

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1, Problem 14RCC
To determine

## What are the three ways to solve a quadratic equation?

Expert Solution

Graph the function ad find the roots.

Complete the square.

### Explanation of Solution

Given information:

What are the three ways to solve a quadratic equation?

Calculation:

The form of quadratic equation is,

ax2+bx+c

a,b,c are constants where a0

First way to solve a quadratic equation is to plot the equation and see where it crosses the xaxis . This method is helpful for finding approximation of roots and observing the behaviour of the function.

Graph the function ad find the roots.

Second way to solve a quadratic equation is to use quadratic formula by matching the coefficients of the given equation. The formula is,

x=b±b24ac2a

Third way to solve a quadratic equation is to manipulate the equation for factorization.the formula is,

x2+bx+(b2)=(x+b2)2

Complete the square.

Hence, the three ways are,

Graph the function ad find the roots.