2(2x-3)(3x+2)-2(x+4)(4x-3)+9x(4-x)-6=0 voi gia tri nao cua x thi bt da cho co gt bang 0
Cho A= 3(2x-3)(3x+2)-(2x+4)(4x-3)+9x(4-x). Tim gia tri cua x de A=0
\(A=3\left(2x-3\right)\left(3x+2\right)-\left(2x+4\right)\left(4x-3\right)+9x\left(4-x\right)\)
\(=\left(6x-9\right)\left(3x+2\right)-8x^2+6x-16x+12+36x-9x^2\)
\(=18x^2+12x-27x-18-17x^2+26x+12\)
\(=x^2+11x-6\)
Để A = 0
\(\Leftrightarrow x^2+11x-6=0\)
\(\Leftrightarrow\left(x^2+11x+\frac{121}{4}\right)-\frac{145}{4}=0\)
\(\Leftrightarrow\left(x+\frac{11}{2}\right)^2-\left(\frac{\sqrt{145}}{2}\right)^2=0\)
\(\Leftrightarrow\left(x+\frac{11}{2}-\frac{\sqrt{145}}{2}\right)\left(x+\frac{11}{2}+\frac{\sqrt{145}}{2}\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\frac{\sqrt{145}-11}{2}\\x=\frac{-\sqrt{145}-11}{2}\end{matrix}\right.\)
Vậy..................
bai 1:tim x
a)x+x2-x3-x4=0
b)2x3+3x2+2x+3=0
c)x4-2x3+10x2-20x=0
bai 2:tim cap so (x,y) biet
xy+3x-4y=12
bai 3:voi gia tri nao cua x
a)x3-x2+3x-3>0
b)x3+x3+9x+9<0
c)4x3-14x2+6x-21<0
d)x2(2x2+3)+2x2+3>0
bai 4:CMR hieu binh phuong 2 so le lien tiep thi chia het cho 8
1. voi gt nao cua bien x da thuc nhom co gia tri lon nhat
a B= 4x - xmu2 +1
b C= (1-x).(x+2).(x+3).(x+6)
\(\Leftrightarrow B=-\left(x^2-4x-1\right)\)
\(\Leftrightarrow B=-\left(x^2-4x+4-5\right)\)
\(\Leftrightarrow B=-\left(x-2\right)^2+5\)
Ta có \(\left(x-2\right)^2\ge0\)với mọi x
\(\Leftrightarrow-\left(x-2\right)^2\le0\)
\(\Leftrightarrow-\left(x-2\right)^2+5\le0+5\)
hay \(B\) \(\le5\)
Dấu "=" xảy ra khi \(\left(x-2\right)^2=0\)
. \(\Leftrightarrow x-2\)\(=0\)
\(\Leftrightarrow\)\(x\) \(=2\)
Vậy min B=5 tại x=2
cho da thuc f(x)= -2+x^4+2x^2-3x^3+4x^4-5x^4+3x^3+3 chung minh rang da thuc f(x) ko co nghiem tai moi gia tri cua x
xet phuong trinh bac an x : x^-(m-)*x+m*(m-3)=0 (1)
a) voi gia tri nao cua m thi phuong trinh (1) co 2 nghiem trai dau
b)voi gia tri nao cua m thi phuong trinh (1) co nghiem x1;x2 thoa man he thuc x mot mu 3 x hai mu 3
Cho A=X(X-4).Voi gia tri nao cua x thi A=0;A<0;A>0
voi gia tri nao cua a,b thi da thuc x^3+ax^2+2x+b chia het cho x^2+x+1
1 . tong binh phuong tat ca cac nghiem cua phuong trinh : x4(x-1)+(x-1)x3=0
2.neu da thuc 2m3-m+n co 2 nhan tu la : x+2 va x-1 thi gia tri cua 2m+3n la
3.tong x; y thoa man (x-2015)2+(y-2014)4>hoac bang 0 la ?
C =9x^2-16/3x^2-4x
voi gia tri nao cua x thi phan thuc tren duoc xac dinh?
C= \(\frac{9x^2-16}{3x^2-4x}\)
Đk: \(3x^2-4x\ne0\)\(\Leftrightarrow x\left(3x-4\right)\ne0\)
=> \(x\ne0hoặc\left(3x-4\right)\ne0\)
=> \(x\ne0hoặcx\ne\frac{4}{3}\)
Vậy tập xác định R\ { 0;\(\frac{4}{3}\)} ( Tất cả các số thực đều thỏa mãn trừ 0 và 4/3 )
Tick cho mik nha mọi người ^^ Okem