(x+1)(2-x)-(3x+5)(x+2)=-4x2+2
(x+1)(2-x)-(3x+5)(x+2)+4x2+2=0
2x-x2+2-x-3x2-6x-5x-10+4x2+2=0
(-x2-3x2+4x2) + (2x-x-6x-5x) + (2-10+2)=0
0 + -10x + (-6)
-10x-6=0
-10x=0+6
-10x=6
x=\(\dfrac{-6}{10}\) = \(\dfrac{-3}{5}\)
(x+1)(2-x)-(3x+5)(x+2)=-4x2+2
(x+1)(2-x)-(3x+5)(x+2)+4x2+2=0
2x-x2+2-x-3x2-6x-5x-10+4x2+2=0
(-x2-3x2+4x2) + (2x-x-6x-5x) + (2-10+2)=0
0 + -10x + (-6)
-10x-6=0
-10x=0+6
-10x=6
x=\(\dfrac{-6}{10}\) = \(\dfrac{-3}{5}\)
Bài 7. Tìm x,biết:
a) x-3x2=0 e) 5x(3x-1)+x(3x-1)-2(3x-1)=0
b) (x+3)2-x(x-2)=13 c) (x-4)2-36=0
d) x2-7x+12=0 g) x2-2018x-2019=0
Bài 8. Tìm x, biết
a) (2x-1)2=(x+5)2 b) x2-x+1/4
c) 4x4-101x2+25=0 d) x3-3x2+9x-91=0
tìm x biết : x2(x - 1)2 - 4x2 + 8x - 4 = 0
a) x2(x-2)2-(x-2)^2 - x2 +1 b) x3-4x2+8x-8
c)1+6x-6x2-x3
d)x3-y3-3x2+3x-1
e)(x+y+z)^3-x3-y3-z3
Bài 10. Tìm x, biết
a) (x+2)2-x(x+3)+5x=-20 c) (x2-1)3-(x4+x2+1)(x2-1)=0
b) 5x3-10x2+5x=0 d) (x+1)3-(x-1)3-6(x-1)2=-19
Tìm x biết:
a) (x - 3)2 - 5.(x - 2) + 5 = 0.
b) (2x - 1)2 - 3.(x - 2).(x + 2) - 25 = 0.
c) (x - 1)3 - x2.(x - 2) + 5 = 0.
d) x2 - 4x + 5 = 0.
Bài 2 Phân tích thành nhân tử
a) 3x2 – 7x – 10
b) x2 + 6x +9 – 4y2
c) x2 – 2xy + y2 – 5x + 5y’
d) 4x2 – y2 – 6x + 3y
e) 1 – 2a + 2bc + a2 – b2 – c2
f) x3 – 3x2 – 4x + 12
g) x4 + 64
h) x4 – 5x2 + 4
i) (x+1)(x+3)(x+5)(x+7) + 16
j) (x2 + 6x +8)( x2 + 14x + 48) – 9
k) ( x2 – 8x + 15)(x2 – 16x + 60) – 24x2
l) 4( x2 + 15x + 50)(x2 +18x +72) – 3x2
Bài 3 tìm gtnn
A = 9x2 – 6x + 2
B = 4x2 + 5x + 10
C = x2 – x + 10
D = 4x2 + 3x + 20
E = x2 + y2 – 6xy + 10y + 35
F= x2 + y2 – 6x + 4y +2
M= 2x2 + 4y2 – 4xy – 4x – 4y +2021
Bài 1: phân tích các đa thức sau thành nhân tử:
a. x3-2x2+x-2
b. 2x3+3x2-3x-2
c. 5x2+5y2-x2z+2xyz-y2z-10xy
d. x3-3x2y+3xy2-x+y-y3
Bài 2: Tìm x, biết:
a. 4x2-25-(2x-5).(2x+7)=0
b. x3+27+(x+3).(x-9)=0
c. 2x3+3x2+2x+3=0
tìm x
x6 +2x3+1=0
x(x-5)=4x-20
x4-2x2=8-4x2
(x3-x2)-4x2+8x-4=0
Bài 1: phân thích đa thức sau thành nhân tử
a) 5x-10y
b) 4x2-2x
c) 2x2-6xy2-8x2
d) 2(x-y)+3x(y-x)