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 92E
To determine

Find the real solutions of equation.

Expert Solution

Answer to Problem 92E

  x=4,x=1

Explanation of Solution

Given information:

  5x+1=x2

Formula used: -

  (ab)2=a22ab+b2x=b±b24ac2a

  5x+1=x2

Now squaring both the sides:

  (5x)2=(x3)25x=x26x+9x26x+95+x=0x25x+4=0

Now applying quadratic formula:

  x=b±b24ac2a In equation x25x+4=0

Here a=1,b=5,c=4

  x=(5)±(5)24(1)(4)2(1)x=5±25162x=5±92x=5±32

  x=5+32,x=532x=4,x=1

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