(64-2x^2)/((64-x^2)^1/2)=0

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Solution for (64-2x^2)/((64-x^2)^1/2)=0 equation: 


D( x )

((64-x^2)^1)/2 = 0

((64-x^2)^1)/2 = 0

((64-x^2)^1)/2 = 0

(64-x^2)/2 = 0

-1*x^2 = -64 // : -1

x^2 = 64

x^2 = 64 // ^ 1/2

abs(x) = 8

x = 8 or x = -8

x in (-oo:-8) U (-8:8) U (8:+oo)

(64-(2*x^2))/(((64-x^2)^1)/2) = 0

(64-2*x^2)/((64-x^2)/2) = 0

(2*(64-2*x^2))/(64-x^2) = 0

( 2 )

2 = 0

x belongs to the empty set

( 64-2*x^2 )

-2*x^2 = -64 // : -2

x^2 = 32

x^2 = 32 // ^ 1/2

abs(x) = 4*2^(1/2)

x = 4*2^(1/2) or x = -(4*2^(1/2))

x in { 4*2^(1/2), -(4*2^(1/2)) }

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