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find the points on the surface x^2-z^2 = 1 which are in minimum distance from (0,0)

i should find the points using d = x^2+y^2+z^2

first of all

gradf = λ gradg

where f = d and g = x^2-z^2

so we have (2x,2y,2z) = λ (2x,0,2z)

now

2x = λ2x

2y = 0 => y = 0

2z = λ2z

so λ=1

but now how can i find x and z?

im totally confused

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# Homework Help: Lagrange multipliers

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