SOLUTION: 96.) Find all real or imaginary solutions. use the method of your choice. sqrt(7x+29=x+3)

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Question 164958This question is from textbook Elementary and Intermediate
: 96.) Find all real or imaginary solutions. use the method of your choice.
sqrt(7x+29=x+3)
 This question is from textbook Elementary and Intermediate

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(7x+29)=x+3 you put the end parenthesis in the wrong spot.
7x+29=(x+3)^2 Square each side.
7x+29=x^2+6x+9
x^2-x-20=0
(x-5)(x+4)=0
x=5, x=-4
If you substitute 5 and then -4 for x you will find that -4 is an extraneous answer and that 5 is the only answer.
.
Ed