SOLUTION: I need to express the following problem in terms of B: a = 1/sq root of(1-B^2) I cannot figure out how to get rid of the square root since 1-b^2 simplifies to (1+B)(1-B)

Question 242931: I need to express the following problem in terms of B:
a = 1/sq root of(1-B^2)
I cannot figure out how to get rid of the square root since 1-b^2 simplifies to (1+B)(1-B)
Found 2 solutions by jim_thompson5910, JimboP1977:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Multiply both sides by .

Divide both sides by 'a'.

Square both sides.

Square to get

Subtract 1 from both sides.

Multiply 1 by

Combine the fractions.

Divide both sides by -1.

Distribute

Take the square root of both sides.

or Break up the plus/minus

or Break up the square root.

or Simplify the square roots in the denominator.

So the solutions are: or

Answer by JimboP1977(311) (Show Source): You can put this solution on YOUR website!

I personally would rewrite in terms of powers:
1/2 means the square root (1-B^2) and the negative sign means to take the reciprocal of this result ie one divided by the result.
raise both sides to the exponent -2. Remember that when you raise a power to a power you multiply them together so -1/2 * -2 = 1
take one from both sides and multiply by -1
raise both sides to the power of 1/2

RELATED QUESTIONS
I cannot figure out how to get rid of the radical as the... (answered by stanbon)
ellipse problem #11 find vertices, foci 2x^2+y^2=3 I can't figure out how to put in... (answered by Nate)
Can you show/explain the steps to "Find the measure of each angle to the nearest tenth of (answered by stanbon,josgarithmetic)
How do I get rid of the parentheses? This is solving equations by factoring. x(x-5)=0 (answered by ewatrrr)
Hi; I have a problem I need help with please! I am to solve for y y + 1/2 = -1/3(x +... (answered by jim_thompson5910)
OK so i need assistance with a logarithmic problem that is :... (answered by scott8148)
I can not figure out how to get rid of my denominator...do i multiply by the reciprocal... (answered by Alan3354)
how do I figure out how to remove a term with a negative power from underneath a square... (answered by ewatrrr)
express in terms of logarithms of A,B and c: log(a to the 3 power times B divided b the... (answered by ankor@dixie-net.com)