r=(8r)^(1/2)

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Solution for r=(8r)^(1/2) equation:


D( r )

8*r < 0

8*r < 0

8*r < 0

8*r+0 < 0 // - 0

8*r < 0 // : 8

r < 0/8

r < 0

r in <0:+oo)

r = (8*r)^(1/2) // - (8*r)^(1/2)

r-(8*r)^(1/2) = 0

r-2*2^(1/2)*r^(1/2) = 0

t_1 = r^(1/2)

1*t_1^2-2*2^(1/2)*t_1^1 = 0

t_1^2-2*2^(1/2)*t_1 = 0

DELTA = (-2*2^(1/2))^2-(0*1*4)

DELTA = 8

DELTA > 0

t_1 = (8^(1/2)-(-2*2^(1/2)))/(1*2) or t_1 = (-(-2*2^(1/2))-8^(1/2))/(1*2)

t_1 = (2*2^(1/2)+2*2^(1/2))/2 or t_1 = (2*2^(1/2)-2*2^(1/2))/2

t_1 = (2*2^(1/2)-2*2^(1/2))/2

r^(1/2)-((2*2^(1/2)-2*2^(1/2))/2) = 0

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

r^(1/2) = 0

r = 0

t_1 = (2*2^(1/2)+2*2^(1/2))/2

r^(1/2)-((2*2^(1/2)+2*2^(1/2))/2) = 0

1*r^(1/2) = -(-2*2^(1/2)) // : 1

r^(1/2) = 2*2^(1/2)

r^(1/2) = 2*2^(1/2) // ^ 2

r = 8

r in { 0, 8 }

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