(2m^2-9)^1/2=m

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Solution for (2m^2-9)^1/2=m equation: 


m in (-oo:+oo)

((2*m^2-9)^1)/2 = m // - m

((2*m^2-9)^1)/2-m = 0

(2*m^2-9)/2-m = 0

(2*m^2-9)/2+(2*(-m))/2 = 0

2*m^2+2*(-m)-9 = 0

2*m^2-2*m-9 = 0

2*m^2-2*m-9 = 0

2*m^2-2*m-9 = 0

DELTA = (-2)^2-(-9*2*4)

DELTA = 76

DELTA > 0

m = (76^(1/2)+2)/(2*2) or m = (2-76^(1/2))/(2*2)

m = (2*19^(1/2)+2)/4 or m = (2-2*19^(1/2))/4

(m-((2-2*19^(1/2))/4))*(m-((2*19^(1/2)+2)/4)) = 0

((m-((2-2*19^(1/2))/4))*(m-((2*19^(1/2)+2)/4)))/2 = 0

((m-((2-2*19^(1/2))/4))*(m-((2*19^(1/2)+2)/4)))/2 = 0 // * 2

(m-((2-2*19^(1/2))/4))*(m-((2*19^(1/2)+2)/4)) = 0

( m-((2*19^(1/2)+2)/4) )

m-((2*19^(1/2)+2)/4) = 0 // + (2*19^(1/2)+2)/4

m = (2*19^(1/2)+2)/4

( m-((2-2*19^(1/2))/4) )

m-((2-2*19^(1/2))/4) = 0 // + (2-2*19^(1/2))/4

m = (2-2*19^(1/2))/4

m in { (2*19^(1/2)+2)/4, (2-2*19^(1/2))/4 }

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