0.2k^(1/2)=0.1k

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Solution for 0.2k^(1/2)=0.1k equation:


D( k )

k < 0

k < 0

k in <0:+oo)

0.2*k^(1/2) = 0.1*k // - 0.1*k

0.2*k^(1/2)-(0.1*k) = 0

0.2*k^(1/2)-0.1*k = 0

t_1 = k^(1/2)

0.2*t_1^1-0.1*t_1^2 = 0

0.2*t_1-0.1*t_1^2 = 0

DELTA = 0.2^2-(-0.1*0*4)

DELTA = 0.2^2

DELTA = 0.04

DELTA > 0

t_1 = ((0.2^2)^(1/2)-0.2)/(-0.1*2) or t_1 = (-(0.2^2)^(1/2)-0.2)/(-0.1*2)

t_1 = 0 or t_1 = 2

t_1 = 0

k^(1/2)+0 = 0

k^(1/2) = 0

1*k^(1/2) = 0 // : 1

k^(1/2) = 0

k = 0

t_1 = 2

k^(1/2)-2 = 0

1*k^(1/2) = 2 // : 1

k^(1/2) = 2

k^(1/2) = 2 // ^ 2

k = 4

k in { 0, 4 }

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