15=3/2(x-10)^2

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Solution for 15=3/2(x-10)^2 equation: 


x in (-oo:+oo)

15 = (3/2)*(x-10)^2 // - (3/2)*(x-10)^2

15-((3/2)*(x-10)^2) = 0

(-3/2)*(x-10)^2+15 = 0

15-3/2*(x-10)^2 = 0

15-3/2*(x-10)^2 = 0

30*x-3/2*x^2-135 = 0

30*x-3/2*x^2-135 = 0

3*(10*x-1/2*x^2-45) = 0

10*x-1/2*x^2-45 = 0

DELTA = 10^2-(-45*(-1/2)*4)

DELTA = 10

DELTA > 0

x = (10^(1/2)-10)/(-1/2*2) or x = (-10^(1/2)-10)/(-1/2*2)

x = 10-10^(1/2) or x = 10^(1/2)+10

3*(x+10^(1/2)-10)*(x-10^(1/2)-10) = 0

3*(x+10^(1/2)-10)*(x-10^(1/2)-10) = 0

( 3 )

3 = 0

x belongs to the empty set

( x+10^(1/2)-10 )

x+10^(1/2)-10 = 0 // - 10^(1/2)-10

x = -(10^(1/2)-10)

x = 10-10^(1/2)

( x-10^(1/2)-10 )

x-10^(1/2)-10 = 0 // + 10^(1/2)+10

x = 10^(1/2)+10

x in { 10-10^(1/2), 10^(1/2)+10 }

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