x4+5x3-x2-16x+10=0
<=>x4+3x3-5x2+2x3+6x2-10x-5x2-15x+25=0
<=>x2(x2+3x-5)+2x(x2+3x-5)-5(x2+3x-5)=0
<=>(x2+2x-2)(x2+3x-5)=0
<=>x2+2x-2=0 hoặc x2+3x-5=0
Với x2+2x-2=0\(\Leftrightarrow x=\pm\sqrt{3}-1\)
Với x2+3x-5=0\(\Leftrightarrow\orbr{\begin{cases}x=-\frac{\sqrt{29}+3}{2}\\x=\frac{\sqrt{29}-3}{2}\end{cases}}\)
X^5+5X^4+2X^3+16X^2+10X+20=0
Giải phương trình
a, x4 + 5x3 + 12x2 +20x + 16 = 0
b, 16x4 - 24x3 + 16x2 - 6x + 1 = 0
Tìm x:
a) 3x4-13x3+16x2-13x+3=0
b)6x4+5x3-38x2+5x+6=0
giải hệ :
1, x^2+3y=9 v y^4+4(2x+3)y^2-48y-48x+155=0
2, y^2=(5x+4)(4-x) v y^2-5x^2-4xy+16x-8y+16=0
3, x(x+y)+y^2=4x-1 v x(x+y)^2-2y^2=7x+2
- "v" là ngoặc "{" giúp t câu nào cũng đc
Mn giúp mình vs
1, \(x^3-6x^2+10x-4=0\)
2, \(x^3+2x^2+2\sqrt{2}x+2\sqrt{2}=0\)
3, \(x^4+x^2-\sqrt{2}x+2=0
\)
4, \(x^4+5x^3-12x^2+5x+1=0\)
5, \(\left(x+5\right)\left(2x+12\right)\left(2x+20\right)\left(x+12\right)=3x^2\)
6, \(\left(x^2-5x+1\right)\left(x^2-4\right)=6\left(x-1\right)^2\)
7, \(x^4-9x^3+16x^2+18x+4=0\)
giải hệ phương trình \(\hept{\begin{cases}x^3+4y-y^3-16x=0\\y^2-5x^2=4\end{cases}}\)
Cho x>0,y>0,x+y>hoặc=6.CMR:P=(5x^2y+3xy^2+16x+12y)/xy thì > hoặc =3
giải hpt:
\(\hept{\begin{cases}y^2=\left(5x+4\right)\left(4-x\right)\\y^2-5x^2-4xy+16x-8y+16=0\end{cases}}\)
Tìm điều kiện có nghĩa:
1) \(\sqrt{2x^2}\)
2) \(\sqrt{-x}\)
3) \(\sqrt{-x^2-3}\)
4) \(\sqrt{x^2+2x+3}\)
5) \(\sqrt{-a^2+8a-16}\)
6) \(\sqrt[]{16x^2-25}\)
7) \(\sqrt{4x^2-49}\)
8) \(\sqrt{8-x^2}\)
9) \(\sqrt{x^2-12}\)
10) \(\sqrt{x^2+2x-3}\)
11) \(\sqrt{2x^2+5x+3}\)
12) \(\sqrt{\dfrac{4}{x-1}}\)
13) \(\sqrt{\dfrac{-1}{x-3}}\)
14) \(\sqrt{\dfrac{-3}{x+2}}\)
15) \(\sqrt{\dfrac{1}{2a-1}}\)
16) \(\sqrt{\dfrac{2}{3-2a}}\)
17) \(\sqrt{\dfrac{-1}{2a-5}}\)
18) \(\sqrt{\dfrac{-2}{3-5a}}\)
19) \(\sqrt{\dfrac{-a}{5}}\)
20) \(\dfrac{1}{\sqrt{-3a}}\)
