Edexcel-Core1-Jan2010
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8/10/2019 Edexcel-Core1-Jan2010
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1 (6663) 2010
... 0775 950 1629 1
:
://..///08///.
1
= 4x3+ x
2/3
) (7 + 5)(3 5) = (7 3) (5 5) + (3 5) (7 5)
21 5 + 3
5 7
5= 16 4
5
)
(3 5)( )( )
( )( )=
( )( )( )
: + 5 (3 5 )= 21 5 + 35 75= 16 45( )
:(3 + 5 )(3 5 )= 9 5 + 35 35= 4
=( )
= 4 5
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1 (6663) 2010
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) = x+
x
3x
5 2 = 3x
2
5 = 3x+ 2
5
=
+
) 2 1
=
(3, 1)
1= (xx1)
1 =(x 3)
1 =
5
1
= 4
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x= 5x
1/2+x
3/2
= (5/+ /) x
=/
/ +// + = 10x
1/2+
/ +
= 35 x= 4
35 = 10(41/2
)+()
+
35 = (10 2) +
+
35 = 20 +
+
35 = 20 + +
20
15 = +
=
= 10x1/2
+/
+
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,
3x
+ 2 = 3x
2
= 3x 2
(3x 2)2x 6x
2= 0
(3x 2)(3x 2) x 6x2= 0
9x2+ 4 6x 6xx 6x
2= 0
3x2 13x+ 4 = 0
3 4 12
12
13
1 12
13 1 12
3x2 1x 12x+ 4 = 0
x(3x 1) 4(3x 1) = 0
(3x 1)(x 4) = 0
3x 1 = 0
1
3x= 1
3
x=
x 4 = 0
4
x= 4
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x
x=
(3 ) + 2 = 0 1 + 2 = 0
+ 1 = 0
1
= 1
x= 4
(3 4) + 2 = 0
12 + 2 = 0
10 = 0
10
= 10
x=, = 1 x= 4, = 10
(1)2
(6 (
)
2) = 1
= 0
102 4 (6 4
2) = 100 4 96 = 0
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) x
(x+ 3)(x 8) =x2 24 + 3x 8x=x
2 5x 24
=x 5 24x
1
x 1
= 1 + 242= 1 +
) x= 2
= 1 +
= 1 + 6 = 7
x= 2
x= 2
=()( )
=
= 15
(7) (2, 15)
1= (xx1)
15 = 7(x 2)
+ 15 = 7x 14
15
= 7x
29
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) 150, 160, 170, 180
() 150
() 10
= 150, = 10
10
(10)
= 10
= + ( 1)
10= 150 + ((10 1) 10)
10= 150 + 90 = 240
) 20
= 20
20= (2 + ( 1))
20= 20((2 150) + ((20 1) 10))
20= 10(300 + 190) = 4900
) , + 30, + 60, + 90
= , = 30, = 20
20= 20(2 + ((20 1) 30))
20= 10 (2 + 570)
20 20
10 (2 + 570) = 2 4900
20 + 5700 = 9800
5700
20 = 4100
20
= 205
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) 2
2
= 3
(2, 7)
) 4
4
= 4
(2, 20)
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) 1
( )
1
= 1
(3, 5)
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) x
x
x(x2 4)
x(x 2)(x+ 2)
)
)
x= 1
= (1)3 (4 1) = 1 4 = 1 + 4 = 3
(1, 3)
x= 3
= 33 (4 3) = 27 12 = 15
(3, 15)
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=
= =
= 3
(3) (3, 15)
1= (xx1)
15 = 3(x 3)
15 = 3x 9
15
= 3x+ 6
) 2= (2 1)
2+ (x2x1)
2
2= (15 3)
2+ (3 1)
2= 12
2+ 4
2= 144 + 16 = 160
= 160= 16 10= 16 10= 410 = 4
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)
(x) = (x+ 2)2 (2)
2+ (3 + 11)
(x) = (x+ 2)2 4
2+ 3 + 11
= 2
= 42+ 3 + 11
) (x) = 0
(x+ )2+ = 0
(x+ )2=
(x+ ) = ( ) 4
2+ 3 + 11 0 ( )
2 4
2
42 11 3 0
= 0
12 (4 3) 11
12 +1
11 12 +1
42 12 + 1 3
4( 3) + 1( 3)
( 3)(4 + 1)
0 3 = 0 4 + 1 = 0
= 3 4 + 1 = 0
= 3 4 = 1
= 3 =
0 3
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) = 1
(x) = (x+ 2)2 4 + 3 + 11
(x) = (x+ 2)2+ 10
x= 0
= 22+ 10 = 14
(0, 14)
3 = 1
x
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