1) <=> x2 - 4x - x2 + 8 = 0 <=> x2 - 4x + 8 = 0
Dễ thấy phương trình vô nghiệm vì x2 - 4x + 8 = ( x - 2 )2 + 4 > 0
2) <=> ( x - 1 )3 = 0 <=> x = 1
3) <=> ( x - 2 )3 = 0 <=> x = 2
4) <=> ( 2x - 1 )3 = 0 <=> x = 1/2
1) <=> x2 - 4x - x2 + 8 = 0 <=> x2 - 4x + 8 = 0
Dễ thấy phương trình vô nghiệm vì x2 - 4x + 8 = ( x - 2 )2 + 4 > 0
2) <=> ( x - 1 )3 = 0 <=> x = 1
3) <=> ( x - 2 )3 = 0 <=> x = 2
4) <=> ( 2x - 1 )3 = 0 <=> x = 1/2
Tìm x biết:
\(\left(2x-3\right)^2-\left(3x+2\right)^2=5x\left(2-x\right)\)
\(8x^3-12x^2+6x-1=0\)
Tìm x
1) \(x^2-\left(x-1\right).\left(x+1\right)=0\)
2) \(5x^3+3x^2+3x+1=4x^3\)
3) \(x^3+x^2=0\)
4) \(2x^3-12x^2+18x=0\)
5)\(5x^2-4.\left(x^2-2x+1\right)+20=0\)
6)\(5x.\left(x-3\right)+7x-21=0\)
7)\(2x^3-50x=0\)
8) \(\left(4x-1\right)^2-9.\left(x+2\right)^2=0\)
9) \(3.\left(x-2\right)^2-x+2=0\)
10) \(9x^2+6x-8=0\)
Giải phương trình sau:
1) \(2x^4-9x^3+14x^2-9x+2=0\)
2) \(6x^4+25x^3+12x^2-25x+6=0\)
3) \(\left(x+1\right)^4-\left(x^2+2\right)^2=0\)
4) \(2x^3-3x^2+3x+8=0\)
5) \(x^4+2x^3+x^2=0\)
BÀI 6 tìm x
1,\(2x\left(x-5\right)-\left(3x+2x^2\right)=0\) 2,\(x\left(5-2x\right)+2x\left(x-1\right)=13\)
3,\(2x^3\left(2x-3\right)-x^2\left(4x^2-6x+2\right)=0\) 4,\(5x\left(x-1\right)-\left(x+2\right)\left(5x-7\right)=6\)
5,\(6x^2-\left(2x-3\right)\left(3x+2\right)=1\) 6,\(2x\left(1-x\right)+5=9-2x^2\)
Tìm x, biết:
1)
\(5x\left(x-1\right)=\left(x-1\right)\)
2)
\(2x\left(12x-5\right)-8x\left(3x-1\right)=30\)
3)
\(3x\left(3-2x\right)+6x\left(x-1\right)=15\)
4)
\(x\left(x-3\right)+x-3=0\)
Giải các pt sau
\(x^2+\frac{2x}{x-1}=8\)
\(\left(4x+1\right)\left(12x-1\right)\left(3x+2\right)\left(x+1\right)\)=4
\(\left(x^2-1\right)\left(x+3\right)\left(x+5\right)=9\)
\(x^4-3x^3+4x^2-6x+4=0\)
Tìm x biết:
a) \(3x^2-4x=0\). b) \(\left(x+3\right)\left(x-1\right)+2x\left(x+3\right)=0\).
c) \(9x^2+6x+1=0\). d) \(x^2-4x=4\).
Bài 4: Tìm x, biết.
a) 4x(x - 7) - 4x2 = 56
b) 12x(3x - 2) - (4 - 6x) = 0
c) 4(x - 5) - (5 - x)2 = 0
d) x(x +1) - x(x - 3) = 0
e) - 6x + 8 = 0 f) 2 + 2x + = 0
Giải các phương trình sau:
a) \(\left(x^2+4x+8\right)^2+3x\left(x^2+4x+8\right)+2x^2=0\)
b)\(\left(6x+7\right)^2\left(3x+4\right)\left(x+1\right)=6\)
c) \(\left(x-2\right)^4+\left(x-6\right)^4=82\)
d) \(2x^4-5x^3+6x^2-5x+2=0\)
e) \(2x^4+x^3-6x^2+x+2=0\)
f) \(x^4+2x^3+4x^2+2x+1=0\)
đố ai giải được hết!!