SOLUTION: Square root of 2t minus t + 4 = 0

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Question 76673This question is from textbook College Algebra
: Square root of 2t minus t + 4 = 0 This question is from textbook College Algebra

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Square root of 2t minus t + 4 = 0
Is this what you meant?
sqrt%282t%29-t%2B4=0
First isolate the radical
sqrt%282t%29-t%2Bt%2B4-4=0%2Bt-4
sqrt%282t%29=t-4
Now square both sides
%28sqrt%282t%29%29%5E2=%28t-4%29%5E2
2t=%28t-4%29%28t-4%29
2t=t%5E2-4t-4t%2B16
2t=t%5E2-8t%2B16
Set the problem = to 0
2t-2t=t%5E2-8t-2t%2B16
Factor
0=t%5E2-10t%2B16
0=%28t-8%29%28t-2%29
Set each factor = to 0 and solve for x
t-8=0 or t-2=0
t-8%2B8=0%2B8 or t-2%2B2=0%2B2
t=8 or t=2
Check for extraneous solutions:
sqrt%282%288%29%29-%288%29%2B4=0 or sqrt%282%282%29%29-%282%29%2B4=0
sqrt%2816%29-8%2B4=0 or sqrt%284%29-2%2B4=0
4-8%2B4=0 or 2-2%2B4=0
0=0 or 0=0
Both solutions work!
highlight%28t=8%29 or highlight%28t=2%29
Happy Calculating!!!!