find solution set to t−3t+6−−−−−√=−2

Question

anonymous · Answer

$$t-\sqrt{3t+6} = -2$$

anonymous · Answer

you want to fin the value of t?

anonymous · Answer

yes both solutions

anonymous · Answer

ok... first transpose -square root of 3t + 6 to the right side, and transpose -2 to the left 
soit gives you a new equation that are easy to handle... its t + 2 = square root of 3t+6...

tkhunny · Answer

#1 Consider the Domain  $3t+6 \ge 0$
#2 Isolate the radical on one side.

Why are we posting the same question twice?

anonymous · Answer

raise both sides of the equation to the power of to to ditch the radical sign...

anonymous · Answer

power of 2 rather

anonymous · Answer

can someone draw this out or type the equation  so i can get a visual picture

tkhunny · Answer

Did you do Step #2?

#2 Isolate the radical on one side.

Do that, and you will have a visual picture.

anonymous · Answer

t+2 = $$\sqrt{3t+6}$$

tkhunny · Answer

@retep If you use parentheses () rather than brackets [], that won't happen.  :-)

anonymous · Answer

@retep then I square both sides?

anonymous · Answer

yes

anonymous · Answer

when you expand the left side (t+2)^2 ..it gives you t^2 + 4t + 4, and the right side, when you raise it in the 2nd power the square root will be eliminated and it gives you a 3t + 6 only... got already

anonymous · Answer

?

anonymous · Answer

ok i figured it out thank you

anonymous · Answer

YW