03 / 58
(4x -3)^2=(4x)^2+3^2-2*4x*3=
16x^2 + 9 - 24x
f = 16x^ + 9 - 24x - ( 3x - 9x^2 + 9 - 27x
f = 16x^2 + 9 - 24x - 3x + 9x^ - 9 + 27x
f = 25x^2 = ( 5x )^2
f = 125
25x^2 = 125
25x^2 - 125 = 0
نحلل نجد 0 = 25(5 - x^2)
x - 5)( x +5)=0
(x - 5) = 0 اي x = 5
(x + 5) = 0 اي x = - 5
08 / 58
B - C = 3x/4 - 2 - 1x/2 - 3
B -C = 3x/4 - 2x/4 - 5
B -C = 1x/4 - 5
B - C )^2 = (1x/4-5)^2
= (1x/4)^+5^2 - 2*1x/4*5= x^2/16 + 25 - 5x/2=
و بنفس الطريقة نحسب البقية
7 ص 70
التحليل
A = 3x - 6 = 3x -3*2
A = 3(x - 2
B = x^2 - 9
B = x^2 - 3^2
x + 3 ) (x -3)=
حلول المعادلتين
.x^2 – 9) + (2x – 1 ) ( x – 3 ) = 0
(x – 3 ) ( x + 3 ) + ( 2x – 1 ) ( x – 3 ) = 0
. x – 3 ) [( x + 3 ) + ( 2x – 1 )] = 0
. x – 3 ) [x + 3 + 2x – 1] = 0
. x – 3 ) (3 x +2 ) = 0
( x – 3 ) = 0 x = 3
2/3- = x اي 0 = 2 + 3x
x^2 – 4 ) – ( 3x -6 ) = 0
x- 2 ) ( x + 2 ) – 3 ( x -2 ) = 0
(x- 2 )[ ( x + 2 ) – 3 ] = 0
x- 2 ) ( x - 1 ) = 0
x- 2 ) = 0 x = 2
x - 1 ) = 0 x = 1
