Solve the equation:

http://www.mathway.com/math_image.aspx?p=SMB02RSMB03xSMB02ESMB032SMB02eSMB03+5SMB02rSMB03SMB013-x?p=92?p=22

Question

Solve the equation:

http://www.mathway.com/math_image.aspx?p=SMB02RSMB03xSMB02ESMB032SMB02eSMB03+5SMB02rSMB03SMB013-x?p=92?p=22

anonymous · Answer

Why is it a no solution? My book says the answer is 2/3.

mertsj · Answer

You do get 2/3 when you square both sides and solve.

mertsj · Answer

I checked it and it didn't check but I just realized that I forgot to take the square root of the left side so it does check and 2/3 is the answer.

anonymous · Answer

I just tried doing that, but my answer keeps cumming out as 2x^2=4, I squared both sides and then added like terms. Do you know where I went wrong?

mertsj · Answer

$$\sqrt{x ^{2}+5}=3-x$$
$$x^2+5=(3-x)^2=9-6x+x^2$$

mertsj · Answer

$$5=9-6x$$

anonymous · Answer

I see my mistake now, thankyou very much! :)

mertsj · Answer

$$-4=-6x$$
$$\frac{2}{3}=x$$

mertsj · Answer

yw