No 46)
Berarti :
(A (x-2) + B(3x+1))/(3x+1) (x-2) = (5x-3)/(3x+1) (x-2)
AX - 2A + (3BX + B) = 5x - 3
(A+3B)X - 2A + B = 5x - 3
A+ 3B = 5 --> -2A -6B = -10
-2A + B = -3--> -2A + B = -3
------------------------------------- -
-7B = -7
B = 1
A + 3B = 5
A + 3 = 5
A = 2
4A + B = 4(2)+1) = 9
No 47)
x² + y² = 5
(x+y)² -2xy = 5
(2)² -2xy = 5
4 - 2xy = 5
-2xy = 1
xy = -1/2
Jadi :
x³ + y³ = (x+y)³ -3xy (x+y) = (2)³ -3(-1/2) (2) = 8 + (3/2) (2) = 8+3 = 11
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No 46)
Berarti :
(A (x-2) + B(3x+1))/(3x+1) (x-2) = (5x-3)/(3x+1) (x-2)
AX - 2A + (3BX + B) = 5x - 3
(A+3B)X - 2A + B = 5x - 3
A+ 3B = 5 --> -2A -6B = -10
-2A + B = -3--> -2A + B = -3
------------------------------------- -
-7B = -7
B = 1
A + 3B = 5
A + 3 = 5
A = 2
4A + B = 4(2)+1) = 9
No 47)
x² + y² = 5
(x+y)² -2xy = 5
(2)² -2xy = 5
4 - 2xy = 5
-2xy = 1
xy = -1/2
Jadi :
x³ + y³ = (x+y)³ -3xy (x+y) = (2)³ -3(-1/2) (2) = 8 + (3/2) (2) = 8+3 = 11