First get a common demoninator
(1 - (√x)(x^3/2))/(2√x) (remember √x = x^1/2)
add restriction x =/= 0
(1-x^4/2)/(2√x)
(1-x^2)/(2√x)
Set the equation equal to 0 and just forget about the bottom. All you have to do is make sure the top solutions don't violate the restrictions
1-x^2 = 0
1 = x^2 (squareroot both sides)
+/- 1 = x (don't forget its + or -)
x = 1 or x = -1 are your answers
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First get a common demoninator
(1 - (√x)(x^3/2))/(2√x) (remember √x = x^1/2)
add restriction x =/= 0
(1-x^4/2)/(2√x)
(1-x^2)/(2√x)
Set the equation equal to 0 and just forget about the bottom. All you have to do is make sure the top solutions don't violate the restrictions
1-x^2 = 0
1 = x^2 (squareroot both sides)
+/- 1 = x (don't forget its + or -)
x = 1 or x = -1 are your answers