giai pt: (x+1)(x+2)(x+3)(x+4)=3
Giai pt : (X-1)^4+(x-3)^4=2
Đặt y = x- 2 => x = y + 2 thay vào pt ta có
\(\left(y+2-1\right)^4+\left(y+2-3\right)^4=2\Rightarrow\left(y+1\right)^4+\left(y-1\right)^4=2\)
=> \(y^4+4y^3+6y^2+4y+1+y^4-4y^3+6y^2-4y+1=2\)
=> \(2y^4+12y^2+2=2\Rightarrow2\left(y^4+6y^2+1\right)=2\Rightarrow y^4+6y^2+1=1\Rightarrow y^4+6y^2=0\)
=> \(y^2\left(y^2+6\right)=0\)
=> y ^2= 0 \(\left(x^2\ge0=>x^2+6>0\right)\)
=> y = 0
(+) y = 0 => x - 2 = 0 => x = 2
1. Cho pt: x2 -2(m+1)x+m2=0 (1). Tìm m để pt có 2 nghiệm x1 ; x2 thỏa mãn (x1-m)2 + x2=m+2.
2. Giai pt: \(\left(x-1\right)\sqrt{2\left(x^2+4\right)}=x^2-x-2\)
3. Giai hệ pt: \(\left\{{}\begin{matrix}\frac{1}{\sqrt[]{x}}-\frac{\sqrt{x}}{y}=x^2+xy-2y^2\left(1\right)\\\left(\sqrt{x+3}-\sqrt{y}\right)\left(1+\sqrt{x^2+3x}\right)=3\left(2\right)\end{matrix}\right.\)
4. Giai pt trên tập số nguyên \(x^{2015}=\sqrt{y\left(y+1\right)\left(y+2\right)\left(y+3\right)}+1\)
giai pt:((x+1/9)+1)+((x+2/8)+1=((x+3/8)+1)+((x+4)+1)
bn coi lại đề ik ạ
\(\frac{x+1}{9}+1+\frac{x+2}{8}+1=\frac{x+3}{7}+1+\frac{x+4}{6}+1\)
\(\Leftrightarrow\frac{x+10}{9}+\frac{x+10}{8}=\frac{x+10}{7}+\frac{x+10}{6}\)
\(\Leftrightarrow\left(x+10\right)\left(\frac{1}{9}+\frac{1}{8}-\frac{1}{7}-\frac{1}{6}\right)=0\)
\(\Rightarrow x=-10\)
Giai Pt sau | 4x + 2| - 5x + 3 = 0 nhận được nghiệm?
Giai Pt sau |-4x| = 2 ( x + 1) ta nhận được nghiệm?
Giai Pt sau |x + 2| + x^2 - ( 3 + x) x = 0 ta nhận được nghiệm?
giai pt x^2/3+48/x^2=5.(x/3+4/x)
help me ! thanks
giai pt |x+1|+3|x-1|=x+2+|x|+2|x-2|
Giai pt sau:x-1/2013+x-2/2012+x-3/2011=x-4/2010+x-5/2009+x-6/2008
=> 3x-(1/2013+2/2012+3/2011)=3x-(4/2010+5/2009+6/2008)=>6x=-4/2010-5/2009-6/2008+1/2013+2/2012+3/2011 =>x=... làm tiếp đi bạn
giai pt:
1)can(2(x+1)(x+3))+can((x+1)(x-1))=2(x+1)
2)can(x)-can(x+1)-can(x+4)+can(x+9)=0
giai pt : a. x^4/2x^2+1 + 2x^2+1/x^4=2
b.(x/x-1)^2+(x/x+1)^2=10/9
c. x^3+3x^2-10x-24=0