mwickerh mwickerh

19-11-2014
Mathematics

Answered

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

Answer :

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

Other Questions

### A Tragic End AssessmentStep 1: As you progress through Shakespeare's Julius Caesar, track the use of literary elements to create meaning in the play. You wi

Find the Tangent vector, the Normal vector, and the Binormal vector and vec(B) for the curve vec(r)(t)= (3cos(2t), 3sin(2t), 3t) at the point t=0.

Olfactics refers to:A. Items we adorn our bodies with or carry with us B. The study of communication through time C. The influence of scent on perceptions D.

List the tool used for the following task:- Tightening barbed wires during fencing.

what gets my nerves on really

Which describes a diaphysis? Multiple choice question.A. The shaft of a long boneB. A narrow bony extension of an irregular boneC. The enlarged end of a long bo

Rewrite the following expression so that it is properly formatted and makes sense:[tex] (0, 2x^2 + 5y^2 + 2)^2 [/tex]As written, the expression appears to inclu

According to Article II of the US Constitution, what is the minimum age to serve as President of the United States? Group of answer choicesA. 18B. 25C. 30D. 35

Find the assessed value of a property with the following conditions, fair market value of $176,500, and a rate of assessment of 28%.

If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation?A. 0.1B. [tex]\frac{1}{2}[/tex]C. 1D. 10

Do you think a mixed number is a rational number? Explain.

What is the nuclear charge of an atom with a mass of 23 and an atomic number of 11?

What is 0.1 one tenth of

What difficulties did the patriots face at the valley forge

Find two consecutive integers such that the larger is nine more than twice the smaller

What is the nuclear charge of an atom with a mass of 23 and an atomic number of 11?

which of the following describes the correct sequence of the movement of food during digestion? answers: A

The amount a babysitter earns is given by the equation y=7.5x where x is the number of hours and y is the amount earned in dollarsIs it proportional or no? why

By building military bases around the world, imperialist nations mainly aimed to A: resupply naval vessels. B: initiate wars in several places at once.

The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?