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22 tháng 9 2016

b) x(x2-24)=0

=> x=0 hoặc x2-24=0<=>x=0 hoặc x2=24(loại)=>x=0

19 tháng 12 2021

a: \(\Leftrightarrow x\left(x-5\right)\left(x+5\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=5\\x=-5\end{matrix}\right.\)

12 tháng 12 2020

uses crt; var x:integer; begin clrscr; x:=0; while x*x*x<=3000 do   begin      write(x:4);      x:=x+1;   end; readln; end.

24 tháng 10 2017

x3+3x2-10x=0

=>x(3+3.2-10)=0

=>x=0

x3-5x2-14x=0

=>x(3-5.2-14)=0

=>x=0

x3+5x2-24x=0

=>x(3+5.2-24)=0

=>x=0

24 tháng 10 2017

Câu a)

\(x^3+3x^2-10=0\Rightarrow x\left(x^2+3x-10\right)=0\Rightarrow x\left(x^2-2x+5x-10\right)=0\Rightarrow x\left(x\left(x-2\right)+5\left(x-2\right)\right)=0\Rightarrow x\left(x+5\right)\left(x-2\right)=0\)

\(\Rightarrow x=0;x=5;x=2\)

17 tháng 7 2017

a) x^2 + 2x - 35 = 0

<=> (x - 5)(x + 7) = 0

<=> x = 5 hoặc x = - 7

b) 4x^2 - 12x - 27 = 0

<=> (2x - 9)(2x + 3) = 0

<=> x = 4,5 hoặc x = - 1,5

c) 9x^2 + 24x + 7 = 0

<=> (3x + 1)(3x + 7) = 0

<=> x = - 1/3 hoặc x = - 7/3

d) x^2 + y^2 - 4x + 6y + 13 = 0

<=> (x - 2)^2 + (y + 3)^2 = 0

<=> x = 2 và y = - 3

e) 25x^2 - 10x - 24 = 0

<=> (5x - 6)(5x + 4) = 0

<=> x = 1,2 hoặc x = - 0,8

17 tháng 7 2017

mình cảm ơn bạn rất nhiều

3 tháng 2 2022

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27 tháng 10 2021

b: \(\Leftrightarrow\left(x-5\right)\left(x+1\right)\left(x-1\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=5\\x=1\\x=-1\end{matrix}\right.\)

c: \(\Leftrightarrow\left(x-1\right)\left(x-5\right)\left(x+5\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=5\\x=-5\end{matrix}\right.\)

30 tháng 1 2018

Đáp án D

7 tháng 1 2017

a. \(x^4-10x^3+25x^2-36=0\)

=> \(x^3\left(x-3\right)-7x^2\left(x-3\right)+4x\left(x-3\right)+12\left(x-3\right)=0\)

=>\(\left(x-3\right)\left(x^3-7x^2+4x+12\right)=0\)

=>\(\left(x-3\right)\left[x^2\left(x-2\right)-5x\left(x-2\right)-6\left(x-2\right)\right]=0\)=> \(\left(x-3\right)\left(x-2\right)\left(x^2-5x-6\right)=0\)

=> \(\left(x-3\right)\left(x-2\right)\left(x+1\right)\left(x-6\right)=0\)

=>\(\left[\begin{matrix}x=3\\x=2\\x=-1\\x=6\end{matrix}\right.\)

b) \(x^4\) - \(^{9x^2}\) - 24x - 16 = 0

=> \(x^3\left(x-4\right)+4x^2\left(x-4\right)+7x\left(x-4\right)+4\left(x-4\right)=0\)=>\(\left(x-4\right)\left(x^3+4x^2+7x+4\right)=0\)

=> \(\left(x-4\right)\left[x^2\left(x+1\right)+3x\left(x+1\right)+4\left(x+1\right)\right]=0\)=>\(\left(x-4\right)\left(x+1\right)\left(x^2+3x+4\right)=0\)

=> \(\left(x-4\right)\left(x+1\right)=0\) (vì x^2 + 3x + 4> 0)

=>\(\left[\begin{matrix}x=4\\x=-1\end{matrix}\right.\)

7 tháng 1 2017

a,pt\(\Leftrightarrow\left(x^4-10x^3+25x\right)-36=0\)\(\Leftrightarrow\left(x^2-5x\right)^2-36=0\)

\(\Leftrightarrow\left(x^2-5x-6\right)\left(x^2-5x+6\right)=0\)\(\Leftrightarrow\left[\begin{matrix}x^2-5x-6=0\\x^2-5x+6=0\end{matrix}\right.\)

\(\Leftrightarrow\left[\begin{matrix}\left(x+1\right)\left(x-6\right)=0\\\left(x-2\right)\left(x-3\right)=0\end{matrix}\right.\)\(\Leftrightarrow\left[\begin{matrix}x=-1,x=6\\x=2,x=3\end{matrix}\right.\)

vậy pt có 4 nghiệm x=(-1,6,2,3)