\(2x^2-6x+7=0\)
\(\Leftrightarrow\left(x-1\right)^2+\left(x-2\right)^2+2=0\)
Ta có: \(\left(x-1\right)^2+\left(x-2\right)^2\ge0\forall x\)
\(\Rightarrow\left(x-1\right)^2+\left(x-2\right)^2+2\ge2\forall x\)
\(\Rightarrow\) Phương trình vô nghiệm.
\(2x^2-6x+7=0\)
\(\Leftrightarrow\left(x-1\right)^2+\left(x-2\right)^2+2=0\)
Ta có: \(\left(x-1\right)^2+\left(x-2\right)^2\ge0\forall x\)
\(\Rightarrow\left(x-1\right)^2+\left(x-2\right)^2+2\ge2\forall x\)
\(\Rightarrow\) Phương trình vô nghiệm.
Giải phương trình tích
7)(16-8x)(2-6x)=0
8) (x+4)(6x-12)=0
9) (11-33x)(x+11)=0
10) (x-1/4)(x+5/6)=0
11) (7/8-2x)(3x+1/3)=0
12)3x-2x^2=0
A=x+6x^2+7x^2-6x+1
A=(x^2)^2+2x^2.3x+9x^2-1x^2-6x+7
A=(x^2+3x)^2-2.(x^2+3x).1+1
A=(x^2+3x)^2>=0 với mọi x khi x^2=3x-1=0
a) (x2 - 2x)2 - 6x2 +12x + 9 = 0
b) (x2 + x + 1)(x2 + x + 2) = 12
c) (2x2 - 3x + 1)(2x2 + 5x + 1) - 9x2 = 0
Giải các phương trình sau:
a, x^2 + (x+2)(11x-7)=4
b, x^4+3x^2-4=0
c,(x-7)(x-5)(x-4)(x-2)=72
d, x(x+1)(x-1)(x+2)=4
e, 5x^3+6x^2+12x+8=0
Bài 7: CMR phương trình sau vô nghiệm
a,\(2x^2+5x+10=x^2+5x-11\)
b, 2x2-6x+7=0
c,
Giải phương trình
1) 16-8x=0
2) 7x+14=0
3) 5-2x=0
4) 3x-5=7
5) 8-3x=6
6) 8=11x+6
7)-9+2x=0
8) 7x+2=0
9) 5x-6=6+2x
10) 10+2x=3x-7
11) 5x-3=16-8x
12)-7-5x=8+9x
13) 18-5x=7+3x
14) 9-7x=-4x+3
15) 11-11x=21-5x
16) 2(-7+3x)=5-(x+2)
17) 5(8+3x)+2(3x-8)=0
18) 3(2x-1)-3x+1=0
19)-4(x-3)=6x+(x-3)
20)-5-(x+3)=2-5x
a) (x2 - 5x)2 + 10(x2 - 5x) + 24 = 0
b) (2x + 1)2 - 2x - 1 = 2
c) x(x - 1)(x2 - x + 1) - 6 = 0
d) (x2 + 1)2 + 3x(x2 + 1) + 2x2 = 0
(2x2 + 1)(4x-3)=(2x2+1)(x-13)
BT. GCPT sau :
a) 7x + 21 = 0
b) 5x - 2 = 0
c) 12 - 6x =0
d) -2x + 14 = 0
Giups mk vs . thank m.n ![]()