SOLUTION: Find all real or imaginary solutions. Square Root symbol 7x + 29 = x + 3 Textbook Elementary and Intermediate Algebra. Mark Dugopolski ISBN: 13978-0-07-326862-0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find all real or imaginary solutions. Square Root symbol 7x + 29 = x + 3 Textbook Elementary and Intermediate Algebra. Mark Dugopolski ISBN: 13978-0-07-326862-0       Log On


   

Question 31999: Find all real or imaginary solutions.
Square Root symbol 7x + 29 = x + 3
Textbook Elementary and Intermediate Algebra. Mark Dugopolski
ISBN: 13978-0-07-326862-0
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
sqrt%287x%2B29%29+=+x%2B3 Square both sides of the equation.
7x%2B29+=+x%5E2%2B6x%2B9 rewrite in standard quadratic form.
x%5E2-x-20+=+0 Factor.
%28x%2B4%29%28x-5%29+=+0 Apply the zero products principle.
x%2B4+=+0 and/or x-5+=+0
If x%2B4+=+0 then x=+-4
If x-5+=+0 then x+=+5
The roots are both real:
x = -4
x = 5