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 1.5, Problem 59E
To determine

Solve the equations by completing the square.

Expert Solution

Answer to Problem 59E

  x=722,722

Explanation of Solution

Given information:

  2x2+8x+1=0

Formula used:

Completing the square method:- In this method solution are solved by completing the square, For this, firstly the coefficient of first term is made 1, then the square of half of coefficient second term is added and subtracted.

Calculation:

  2x2+8x+1=0

To make coefficient of first terms as 1, dividing the whole equation by 2

  22x2+82x+12=0x2+4x+12=0

4 is added and subtracted

  (x2+4x+4)4+12=0(x+2)2=72

Taking root both the side

  x+2=±72x=±722x=722,722

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