SOLUTION: 2 square root of a minus 1 is equals to 4a

Algebra ->  Radicals -> SOLUTION: 2 square root of a minus 1 is equals to 4a       Log On


   



Question 390479: 2 square root of a minus 1 is equals to 4a

Found 2 solutions by haileytucki, richard1234:
Answer by haileytucki(390) About Me  (Show Source):
You can put this solution on YOUR website!
2squareroot%28-1%29=4a
Since a is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
4a=2~(-1)
Pull all perfect square roots out from under the radical. In this case, remove the i because it is a perfect square.
4a=(2*i)
Multiply 2 by i to get 2i.
4a=(2i)
Remove the parentheses around the expression 2i.
4a=2i
Divide each term in the equation by 4.
(4a)/(4)=(2i)/(4)
Simplify the left-hand side of the equation by canceling the common factors.
a=(2i)/(4)
Simplify the right-hand side of the equation by simplifying each term.
a=(i)/(2)

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
This is an ambiguous question. I can interpret it either as

2sqrt%28a%29+-+1+=+4a or

2sqrt%28a-1%29+=+4a

In either case, square both sides (for the first equation, add 1 to both sides before squaring). In both cases you will get a quadratic that is easy to solve.