8x + x + 2x = 132
1. Tính hợp lí : 132 x (32-89)+ 89 x (32-132)
2.Tìm x : a, 4x - 9 chia hết cho x + 1
b, 8x + 10 chia hết cho 2x - 1
ai làm đúng mk tick
cmr:1-2/x-(2x+x^2/4+2x+x^2 + 2x-x^2/4-2x+x^2):(16-8x/4-2x+x^2 -16+8x/4+2x+x^2)=(x-1/x)^2
Tìm x thuộc Z
132-(-432+764)-(321-x)+(-432-132+521)=-(-212)-422
2x-{234-[-456+(-543-3x)=23
Tìm GTNN của:
\(x = {x^4+2x^3 +8x+16 \over x^4-2x^3+8x^2-8x+16}\)
Tử \(x^4+2x^3+8x+16\)
\(=x^4-2x^3+4x^2+4x^3-8x^2+16x+4x^2-8x+16\)
\(=x^2\left(x^2-2x+4\right)+4x\left(x^2-2x+4\right)+4\left(x^2-2x+4\right)\)
\(=\left(x^2+4x+4\right)\left(x^2-2x+4\right)\)
\(=\left(x+2\right)^2\left(x^2-2x+4\right)\)
Mẫu \(x^4-2x^3+8x^2-8x+16\)
\(=x^4-2x^3+4x^2+4x^2-8x+16\)
\(=x^2\left(x^2-2x+4\right)+4\left(x^2-2x+4\right)\)
\(=\left(x^2+4\right)\left(x^2-2x+4\right)\)
Thay tử và mẫu vào ta có:\(\frac{\left(x+2\right)^2\left(x^2-2x+4\right)}{\left(x^2+4\right)\left(x^2-2x+4\right)}=\frac{\left(x+2\right)^2}{x^2+4}\ge0\)
Dấu "=" khi \(\left(x+2\right)^2=0\Leftrightarrow x=-2\)
Vậy Min=0 khi x=-2
C =
D = x-4+(x>4)
\(C=\sqrt{9x^2}-2x=\left|3x\right|-2x=-3x-2x=-5x\left(x< 0\right)\)
\(D=x-4+\sqrt{16-8x+x^2}\left(x>4\right)\)
\(=x-4+\sqrt{\left(x-4\right)^2}\)
\(=x-4+\left|x-4\right|\)
\(=x-4+x-4\)
\(=2x-8\)
\(C=\sqrt{9x^2}-2x=-3x-2x=-5x\)
\(D=x-4+\sqrt{x^2-8x+16}=x-4+x-4=2x-8\)
Tìn min
C=\(\frac{x^4+2x^3+8x+16}{x^4-2x^3+8x^2-8x+616}\)
5-2/4x^2-2x-1/8x-16=x-1/2x(x-2)-7/8x
Tìm x biết 2 x - 1 3 = 1 3 2 + 5 9
A. 3 2
B. 2 3
C. 5 2
D. 3 5
Giải phương trình
a) \(\frac{4}{20-6x-2x^2}\)+ \(\frac{x^2+4x}{x^2+5x}-\frac{x+3}{2-x}+3=0\)
b)\(\frac{x+5}{x^2-5x}-\frac{x-5}{2x^2-10x}+10=\frac{x+25}{2x^2-50}\)
c) \(\frac{7}{8x}+\frac{5-x}{4x^2-8x}=\frac{x-1}{2x.\left(x-2\right)}+\frac{1}{8x-16}\)
c) \(\frac{7}{8x}+\frac{5-x}{4x^2-8x}=\frac{x-1}{2x.\left(x-2\right)}+\frac{1}{8x-16}\)