Can somebody help me figure this out and show me the steps so that I might actually learn how it is done. Thank you in advance!

1) Solve. Check for extraneous solutions
√3x+1-√x+1=2
1)2,6
2) 0,8
3) 1
4) 8

Question

Can somebody help me figure this out and show me the steps so that I might actually learn how it is done. Thank you in advance!

1) Solve. Check for extraneous solutions 
√3x+1-√x+1=2
1)2,6
2) 0,8
3) 1
4) 8

directrix · Answer

Is this the problem:

√(3x+1)  - √(x+1) = 2

bluepatriot · Answer

Yes, my dear. An answer is appreciated but a step by step explanation would really save my life. I have a few more like these and I need another explanation on how to do them.

bluepatriot · Answer

@Directrix

jiteshmeghwal9 · Answer

$$(\sqrt{3x+1}-\sqrt{x+1}=2)$$square both sides$$(3x+1)+(x+1)-2(\sqrt{3x+1})(\sqrt{x+1})=4$$$$2\sqrt{3x^2+4x+1}=4x-2$$gt it upto this step ?

jiteshmeghwal9 · Answer

next step is to square it again. finally u will gt a quadratic equation. then u can solve it using quadratic formula, factorization or perfect square method.

bluepatriot · Answer

I think I do.