Question

(t^2-9t)^2 +22(t^2-9t)+112=0

Answer 1

Пусть T^2 - 9T = A 
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A^2 + 22A + 112 = 0
D = 484 - 448 = 36 ; √ D = 6 
A1 = ( - 22 + 6 ) : 2 = - 8 
A2 = ( - 22 - 6 ) : 2 = - 14 
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T^2 - 9T = - 8 
T^2 - 9T + 8 = 0
D = 81 - 32 = 49 ; √ D = 7
T1 = ( 9 + 7 ) : 2 = 8 
T2 = ( 9 - 7 ) : 2 = 1 
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T^2 - 9T = - 14 
T^2 - 9T + 14 = 0 
D = 81 - 56 = 25 ; √ D = 5
T3 = ( 9 + 5 ) : 2 = 7 
T4 = ( 9 - 5 ) : 2 = 2 
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