\(16x^3-12x^2+3x-7=0\)

\(\Leftrightarrow16x^3-16x^2-3x^2+3x+7x^2-7=0\)

\(\Leftrightarrow16x^2\left(x-1\right)-3x\left(x-1\right)+7\left(x-1\right)\left(x+1\right)=0\)

\(\Leftrightarrow16x^2\left(x-1\right)-3x\left(x-1\right)+\left(x-1\right)\left(7x+7\right)=0\)

\(\Leftrightarrow\left(x-1\right)\left(16x^2-3x+7x+7\right)=0\)

\(\Leftrightarrow\left(x-1\right)\left(16x^2+4x+7\right)=0\)

<=> x - 1 = 0 

<=> x = 1

\(\Leftrightarrow16x^3-16x^2+4x^2-4x+7x-7=0\)

\(\Leftrightarrow16x^2.\left(x-1\right)+4x.\left(x-1\right)+7.\left(x-1\right)=0\)

\(\Leftrightarrow\left(x-1\right).\left(16x^2+4x+7\right)=0\)

Ta có \(16x^2+4x+7=\left(4x\right)^2+2.4x.\frac{1}{2}+\frac{1}{4}+\frac{27}{4}\)

\(=\left(4x+\frac{1}{2}\right)^2+\frac{27}{4}>0\)

nên \(\left(x-1\right).\left(16x^2+4x+7\right)=0\)

\(\Leftrightarrow x-1=0\)

\(\Rightarrow x=1\)

\(16x^3-12x^2+3x-7=0\)

\(16x^3-16x^2+4x^2-4x+7x-7=0\)

\(16x^2\left(x-1\right)+4x\left(x-1\right)+7\left(x-1\right)=0\)

\(\left(x-1\right)\left(16x^2+4x+7\right)=0\)

        Vì \(0< 16x^2+4x+7\)

\(\Rightarrow x-1=0\)

\(\Rightarrow x=1\)

= 16x³ -16x² + 4x² - 4x + 7x - 7

= 16x²(x-1)+4x(x-1)+7(x-1)

=(x-1)(16x²+4x+7)

16x^3 - 12x^2 + 3x - 7 = 0

=>16x³+4x²-16x²+7x-4x-7=0

=>16x³+4x²+7x-16x²-4x-7=0

=>x(16x²+4x+7)-(16x²+4x+7)=0

=>(x-1)(16x²+4x+7)=0

=>x-1=0 hoặc 16x²+4x+7=0

\(\Rightarrow16\left(x+\frac{1}{8}\right)^2+\frac{27}{4}>0\) với mọi x =>vô nghiệm

Vậy phương trình trên có nghiện thỏa mãn là x=1

=06052015

1,=\(x^2-3x-2x^2+6x=-x^2+3x\)

2,=\(3x^2-x-5+15x=3x^2+14x-5\)

3,=\(5x+15-6x^2-6x=-6x^2-x+15\)

4,=\(4x^2+12x-x-3=4x^2+11x-3\)

5: =>(x+5)^3=0

=>x+5=0

=>x=-5

6: =>(2x-3)^2=0

=>2x-3=0

=>x=3/2

7: =>(x-6)(x-10)=0

=>x=10 hoặc x=6

8: \(\Leftrightarrow x^3-12x^2+48x-64=0\)

=>(x-4)^3=0

=>x-4=0

=>x=4

a: =>2x^2-2x+2x-2-2x^2-x-4x-2=0

=>-5x-4=0

=>x=-4/5

b: =>6x^2-9x+2x-3-6x^2-12x=16

=>-19x=19

=>x=-1

c: =>48x^2-12x-20x+5+3x-48x^2-7+112x=81

=>83x=83

=>x=1

        4x² - 12x -7 = 0

<=>  4x² -14x +2x -7 = 0

<=>  2x(2x-7) + (2x-7) = 0

<=>  (2x-7)(2x+1) = 0

<=>  2x-7 = 0 hoặc 2x+1 = 0

<=>  2x = 7     hoặc 2x = -1

<=>  x= \(\frac{7}{2}\)hoặc  x= \(\frac{-1}{2}\)

Vậy tập nghiệm của phương trình là S={\(\frac{7}{2}\);\(\frac{-1}{2}\)}