100x^(1/2)-2x=625

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Solution for 100x^(1/2)-2x=625 equation:


D( x )

x < 0

x < 0

x in <0:+oo)

100*x^(1/2)-(2*x) = 625 // - 625

100*x^(1/2)-(2*x)-625 = 0

100*x^(1/2)-2*x-625 = 0

t_1 = x^(1/2)

100*t_1^1-2*t_1^2-625 = 0

100*t_1-2*t_1^2-625 = 0

DELTA = 100^2-(-625*(-2)*4)

DELTA = 5000

DELTA > 0

t_1 = (5000^(1/2)-100)/(-2*2) or t_1 = (-5000^(1/2)-100)/(-2*2)

t_1 = (50*2^(1/2)-100)/(-4) or t_1 = (-50*2^(1/2)-100)/(-4)

t_1 = (50*2^(1/2)-100)/(-4)

x^(1/2)-((50*2^(1/2)-100)/(-4)) = 0

1*x^(1/2) = (50*2^(1/2)-100)/(-4) // : 1

x^(1/2) = (50*2^(1/2)-100)/(-4)

x^(1/2) = (50*2^(1/2)-100)/(-4) // ^ 2

x = ((50*2^(1/2)-100)^2)/16

t_1 = (-50*2^(1/2)-100)/(-4)

x^(1/2)-((-50*2^(1/2)-100)/(-4)) = 0

1*x^(1/2) = (-50*2^(1/2)-100)/(-4) // : 1

x^(1/2) = (-50*2^(1/2)-100)/(-4)

x^(1/2) = (-50*2^(1/2)-100)/(-4) // ^ 2

x = ((-50*2^(1/2)-100)^2)/16

x in { ((50*2^(1/2)-100)^2)/16, ((-50*2^(1/2)-100)^2)/16 }

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