mwickerh mwickerh
  • 19-11-2014
  • Mathematics
contestada

solve and check for extraneous solutions.
[tex] \sqrt{3x+1} =x-1[/tex]

Respuesta :

konrad509
konrad509 konrad509
  • 19-11-2014
[tex]D:3x+1\geq 0\wedge x-1\geq 0\\ D:3x\geq-1 \wedge x\geq1\\ D:x\geq-\frac{1}{3} \wedge x\geq1\\ D:x\geq1\\ \sqrt{3x+1}=x-1\\ 3x+1=(x-1)^2\\ 3x+1=x^2-2x+1\\ x^2-5x=0\\ x(x-5)=0\\ x=0 \vee x=5 [/tex]

The solution is 5.
The extraneous solution is 0.
Answer Link

Otras preguntas

what situation could this represent?NEED HELP ASAP PLEASE ​
An arrest includes what?
How long does it take him to swim 50 meters ?
The price of apples went from $0.30 per lb to $0.90 per lb in three years. Find the rate of change of the price of apples. A) $0.10 per pound per year B) $0.20
shania has a family history of a genetically inherited disease. based on this information which statement is true
What is the difference between Yoga and Pilates ? Use in your own words.
Find the equation for the line is perpendicular to 9x+3y=15 (-3,3)
what can you tell about the mean of each distribution? Help plz for real!!
Write two equivalent ratios
-5x+6y=33 -18x+4y=-22