BuyFind

Precalculus: Mathematics for Calcu...

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

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

Answer to Problem 14RCC

Graph the function ad find the roots.

Use the quadratic formula.

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

This method is very helpful.

Use the quadratic formula.

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.

Use the quadratic formula.

Complete the square.

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