Lời giải:

$a=2+\sqrt{5}$

$a-2=\sqrt{5}$

$a^2-4a+4=5\Leftrightarrow a^2-4a-1=0$

$p(a)=a^5-13a^4+7a^3-4a^2-6a$

$=a^3(a^2-4a-1)-9a^2(a^2-4a-1)-28a(a^2-4a-1)-125a^2-34a$

$=-125a^2-34a=-125(a^2-4a-1)-534a-125$

$=-534a-125=-534(2+\sqrt{5})-125=-1193-534\sqrt{5}$

26 giờ 35 phút

=26 giờ 35 phút

`x xx 5 + x :5 =x+3/5`

`=> x xx 5 + x  xx 1/5=x+3/5`

`=> x xx (5+1/5) =x+3/5`

`=  x =x+3/5`

`=> x-x=3/5`

`=> 0=3/5(ko. t/m)`

\(M\left(x\right)+N\left(x\right)=3x^4-2x^3+x^2-4x+5+2x^3+x^2-4x-5\\ =3x^4+\left(-2x^3+2x^3\right)+\left(x^2+x^2\right)+\left(-4x-4x\right)+\left(5-5\right)\\ =3x^4+2x^2-8x\)

\(\left(x+\frac{2}{5}\right)^5=\left(x+\frac{2}{5}\right)^3\)

\(\Leftrightarrow\left(x+\frac{2}{5}\right)^3\left[\left(x+\frac{2}{5}\right)^2-1\right]=0\)

\(\Leftrightarrow\orbr{\begin{cases}x+\frac{2}{5}=0\\x+\frac{2}{5}=\pm1\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=0\\x=-\frac{7}{5};x=-\frac{3}{5}\end{cases}}\)

a) \(2x^2-4x=0\)

\(2x\left(x-2\right)=0\)

TH1:2x=0⇒x=0

TH2:x-2=0⇒x=2

\(a,\Leftrightarrow2x\left(x-2\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=2\end{matrix}\right.\\ b,\Leftrightarrow\left(x+5\right)\left(x-3\right)=0\Leftrightarrow\left[{}\begin{matrix}x=-5\\x=3\end{matrix}\right.\\ c,\Leftrightarrow2\left(x-4\right)-\left(x-4\right)=0\\ \Leftrightarrow x-4=0\Leftrightarrow x=4\)

2x(x - 2) = 0

2x = 0           hoặc          x - 2 = 0

x = 0             hoặc           x = 2

(x - 3)(x + 5) = 0

x - 3 = 0         hoặc          x + 5 = 0

x  = 3             hoặc           x = -5

(x - 4)2 = 0

x = 4              

(x)+Q(x)=(x³-2x+1)+(2x² -2x³+x-5)

 =x³-2x+1+2x²-2x³+x-5 = -x³+2x²-x-4

P(x)-Q(x)=(x³-2x+1)+(2x²-2x³+x-5) 

=x³-2x+1-2x²+2x³-x+5 

=3x³-2x²-3x+6

\(\dfrac{2}{3}\times\dfrac{3}{4}+\dfrac{3}{4}\times\dfrac{2}{5}=\dfrac{3}{4}\times\left(\dfrac{2}{3}+\dfrac{2}{5}\right)=\dfrac{3}{4}\times\dfrac{16}{15}=\dfrac{4}{5}\)

0.8

0,8