13=5/13(4-2x)^2

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Solution for 13=5/13(4-2x)^2 equation: 


x in (-oo:+oo)

13 = (5/13)*(4-(2*x))^2 // - (5/13)*(4-(2*x))^2

13-((5/13)*(4-(2*x))^2) = 0

(-5/13)*(4-2*x)^2+13 = 0

13-5/13*(4-2*x)^2 = 0

13-5/13*(4-2*x)^2 = 0

80/13*x-20/13*x^2+89/13 = 0

80/13*x-20/13*x^2+89/13 = 0

1/13*(80*x-20*x^2+89) = 0

80*x-20*x^2+89 = 0

DELTA = 80^2-(-20*4*89)

DELTA = 13520

DELTA > 0

x = (13520^(1/2)-80)/(-20*2) or x = (-13520^(1/2)-80)/(-20*2)

x = (52*5^(1/2)-80)/(-40) or x = (-52*5^(1/2)-80)/(-40)

1/13*(x-((52*5^(1/2)-80)/(-40)))*(x-((-52*5^(1/2)-80)/(-40))) = 0

1/13*(x-((52*5^(1/2)-80)/(-40)))*(x-((-52*5^(1/2)-80)/(-40))) = 0

( x-((-52*5^(1/2)-80)/(-40)) )

x-((-52*5^(1/2)-80)/(-40)) = 0 // + (-52*5^(1/2)-80)/(-40)

x = (-52*5^(1/2)-80)/(-40)

( x-((52*5^(1/2)-80)/(-40)) )

x-((52*5^(1/2)-80)/(-40)) = 0 // + (52*5^(1/2)-80)/(-40)

x = (52*5^(1/2)-80)/(-40)

x in { (-52*5^(1/2)-80)/(-40), (52*5^(1/2)-80)/(-40) }

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