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 93E
To determine

Find the real solutions of equation.

Expert Solution

Answer to Problem 93E

  x=214,x=3

Explanation of Solution

Given information:

  2x+x+1=8

Formula used: -

  (ab)2=a22ab+b2x=b±b24ac2a

  2x+x+1=8

Now squaring both the sides:

  (x+1)2=(82x)2x+1=64+4x232x4x232x+64x1=04x233x+63=0

Now applying quadratic formula:

  x=b±b24ac2a In equation 4x233x+63=0

Here a=4,b=33,c=63

  x=(33)±(33)24(4)(63)2(4)x=33±108910088x=33±818x=33±98

  x=33+98,x=3398x=214,x=3

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