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 16RCC
To determine

Describe the process of completing the square.

Expert Solution

Answer to Problem 16RCC

  (xb2a)2=ca+(b2a)2

Explanation of Solution

Given information:

Describe the process of completing the square.

Calculation:

First method to solving a quadratic equation by completing the square method is,

The general form of quadratic equation is;

  ax2+bx+c=0

  1. Divide both sides of equation by the coefficient of x2 to make coefficient of x2 equal to one.
  2.   ax2a+bxa+ca=0ax2+bxa+ca=0

  3. Now subtract ca from both sides.
  4.   x2+bxa+caca=0cax2+bxa=ca

  5. Now add (b2a)2 to left side and (b2a)2 to right side of the equation.
  6.   x2+bxa+(b2a)2=ca+(b2a)2

    We are now able to factorise the left hand side of the equation.

      (xb2a)2=ca+(b2a)2

    Hence, this solves the x variable.

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