If x = sqrt y/1+2y which of the following is equal to y? Answers A=1-x^2/x^2 , B= x^2/1-2x^2 , C=x^2/1+x^2, D= x^2/1+x^2, E=x^2/3

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Answer 1 · 2017-12-16T02:02:48

#y = x^2 /(1-2x^2)#

#x = (y /(1-2y^2))^(1/2)#

Making ^2 both sides of eq:

#x^2 = y /(1-2y^2)#

Making inverse both sides of eq:

#1/x^2 = (1+2y) /y#

#1/x^2 = 1/y+2#

Re-arranging for y:

#1/y = 1/x^2-2#

#1/y = (1-2x^2)/x^2#

Making inverse both sides of eq:

#y = x^2 /(1-2x^2)#