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D( x )
45-(9*x) < 0
45-(9*x) < 0
45-(9*x) < 0
45-9*x < 0
45-9*x < 0 // - 45
-9*x < -45 // : -9
x > -45/(-9)
x > 5
x in (-oo:5>
(45-(9*x))^(1/2) = x-5 // - x-5
(45-(9*x))^(1/2)-x+5 = 0
(45-9*x)^(1/2)-x+5 = 0
(45-9*x)^(1/2) = 5-x // - 5-x
(45-9*x)^(1/2) = -(5-x) // ^ 2
abs(45-9*x) = (-(5-x))^2 // - (-(5-x))^2
abs(45-9*x)-(-(5-x))^2 = 0
x in (-oo:+oo)
abs(45-9*x)
45-9*x >= 0
45-9*x >= 0 // - 45
-9*x >= -45 // : -9
x <= -45/(-9)
x <= 5
x in (-oo:5>
45-(-(5-x))^2-9*x = 0
x in (5:+oo)
-(-(5-x))^2-(-9*x)-45 = 0
abs(45-9*x)-(-(5-x))^2 = 0
/ | 45-(-(5-x))^2-9*x = 0 i x in (-oo:5> | -(-(5-x))^2-(-9*x)-45 = 0 i x in (5:+oo)
x in (-oo:5>
45-(-(5-x))^2-9*x = 0
45-1*(x-5)^2-9*x = 0
45-1*(x-5)^2-9*x = 0
x-x^2-25+45 = 0
x-x^2+20 = 0
x-x^2+20 = 0
x-x^2+20 = 0
DELTA = 1^2-(-1*4*20)
DELTA = 81
DELTA > 0
x = (81^(1/2)-1)/(-1*2) or x = (-81^(1/2)-1)/(-1*2)
x = -4 or x = 5
(x+4)*(x-5) = 0
(x+4)*(x-5) = 0
( x+4 )
x+4 = 0 // - 4
x = -4
( x-5 )
x-5 = 0 // + 5
x = 5
x in (5:+oo)
-(-(5-x))^2-(-9*x)-45 = 0
9*x-1*(x-5)^2-45 = 0
9*x-1*(x-5)^2-45 = 0
19*x-x^2-45-25 = 0
19*x-x^2-70 = 0
19*x-x^2-70 = 0
19*x-x^2-70 = 0
DELTA = 19^2-(-70*(-1)*4)
DELTA = 81
DELTA > 0
x = (81^(1/2)-19)/(-1*2) or x = (-81^(1/2)-19)/(-1*2)
x = 5 or x = 14
(x-5)*(x-14) = 0
(x-5)*(x-14) = 0
( x-14 )
x-14 = 0 // + 14
x = 14
( x-5 )
x-5 = 0 // + 5
x = 5
x in { 14}
x in { -4, 5 }
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