Hi,

   ||Squaring both sides

     2t+4 = t-1

     t = -5 

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
 sqrt(2t+4) = sqrt(t-1)

square each side of the equation to get:

2t+4 = t-1

subtract t from both sides of the equation to get:

t+4 = -1

subtract 4 from both sides of the equation to get:

t = -5

that should be your answer.

sqrt(2t+4) = sqrt(t-1) becomes:

sqrt(2*(-5)+4) = sqrt((-5)-1) which becomes:

sqrt(-10+4) = sqrt(-5-1) which becomes:

sqrt(-6) = sqrt(-6)

that's your answer.

t = -5

the fact that the answer is not real, but imaginary is not a factor.

both answers are equal and imaginary.

sqrt(-6) = sqrt(6)*sqrt(-1) = sqrt(6)*i where i = sqrt(-1)

 

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