8(x+ 1/x)^2 +4(x^2 + 1/x^2) -4(x^2+ 1/x^2)(x+ 1/x)^2 = (x+4)^2
8(x+1/x)^2+4(x^2+1/x^2)^2-4(x^2+1/x^2)(x+1/x)^2=(x+4)^2
ĐKXĐ:x≠0
\(8\left(x+\dfrac{1}{x}\right)^2+4\left(x^2+\dfrac{1}{x^2}\right)^2\) \(-4\left(x^2+\dfrac{1}{x^2}\right)\left(x+\dfrac{1}{x}\right)^2=\left(x+4\right)^2\)
⇔\(8\left(x+\dfrac{1}{x}\right)^2+4\left(x^2+\dfrac{1}{x^2}\right)^2-4\left(x^2+\dfrac{1}{x^2}\right)^2-8\left(x^2+\dfrac{1}{x^2}\right)= \left(x+4\right)^2\)
⇔\(8\left(x+\dfrac{1}{x}\right)^2-8\left(x^2+\dfrac{1}{x^2}\right)=\left(x+4\right)^2\)
⇔\(\left(x+4\right)^2=16=4^2=\left(-4\right)^2\)
⇔\(\left[{}\begin{matrix}x=0\left(KTM\right)\\x=-8\left(TM\right)\end{matrix}\right.\)
Vậy \(S=\left\{-8\right\}\)
8(x + 1/x)^2 +4(x^2 + 1/x^2)^2 -4(x^2 + 1/x^2)(x + 1/x)^2=(x + 4)^2
quy đồng rồi khử mẫu ta đc:
16=x2+8x+16
-x2-8x=0
-x(x+8)=0
-x=0 hoặc x+8=0
x=0 hoặc x=-8
quy đồng rồi khử mẫu ta đc:
16=x2+8x+16
-x2-8x=0
-x(x+8)=0
-x=0 hoặc x+8=0
x=0 hoặc x=-8
Hoàng Tử của dải Ngân Hà đừng chép bài tau nữa
8(x+1/x)^2 +4(x^2+1/x^2)^2-4(x^2+1/x^2)^2(x+1/x)^2=(x+4)^2
ta có : 8(x+1/x)2-8(x2+1/x2)= (x+4)2
\(\Leftrightarrow\) 16 = (x+4)2\(\Leftrightarrow\)x=-8;x=0(loại)
1 x 2 = ?
1 x 2 x 3 = ?
1 x 2 x 3 x 4 = ?
1 x 2 x 3 x 4 x 5 = ?
1 x 2 x 3 x 4 x 5 x 6 = ?
1 x 2 x 3 x 4 x 5 x 6 x 7 = ?
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 = ?
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 = ?
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 = ?
1x2= 2 1x2x3=6 1x2x3x4=24 1x2x3x4x5=120 1x2x3x4x5x6=720 1x2x3x4x5x6x7=5040
1x2x3x4x5x6x7x8=40320 1x2x3x4x5x6x7x8x9=362880 1x2x3x4x5x6x7x8x9x10=3628800
1 x 2 = 2
1 x 2 x 3 = 6
1 x 2 x 3 x 4 = 24
1 x 2 x 3 x 4 x 5 = 120
1 x 2 x 3 x 4 x 5 x 6 = 720
1 x 2 x 3 x 4 x 5 x 6 x 7 = 5040
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 = 40320
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 = 362880
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 = 3628800
1 . 2 = 2
1 .2 .3 = 6
1 .2 .3 .4 = 24
1 .2 .3 .4 .5 = 120
1 .2 .3 .4 .5 .6 = 720
1 .2 .3 .4 .5 .6 .7 = 5040
1 .2 .2 .4 .5 .6 .7 .8 = 40320
1 .2 .3 .4 .5 .6 .7 .8 .9 =362880
1 .2 .3 .4 .5 .6 .7 .8 .9 .10 = 3628800
hok tốt
GPT
8(x+1/x)^2 +4(x^2+1/x^2)^2-4(x^2+1/x^2)^2(x+1/x)^2=(x|+4)^2
8(x+1/x)^2+4(x^2+1/x^2)^2-4(x^2+1/x^2)(x+1/x)^2=(x+4)^2
giải phương trình 8(x+1/x)^2+4(x^2+1/x^2)^2-4(x^2+1/x^2)(x+1/x)^2=(x+4)^2
Giải phương trình: 8(x+1/x)^2 + 4(x^2+1/x^2)^2 - 4(x^2+1/x^2)(x+1/x)^2=(x+4)^2
a, (x+8)^2 - 2(x+8)(x-2)+(x-2)^2
b, x(x-4)(x+4)-(x^2+1)(x^2-1)
c, (x+1)(x^2-x+1)-(x-1)(x^2+x+1)
a) \(\left(x+8\right)^2-2\left(x+8\right)\left(x-2\right)+\left(x-2\right)^2\)
\(=\left[\left(x+8\right)-\left(x-2\right)\right]^2\)
\(=\left(x+8-x+2\right)^2\)
\(=10^2\)
\(=100\)