Chương I - Căn bậc hai. Căn bậc ba
Các câu hỏi tương tự
A frac{x-4sqrt{x}+2}{sqrt{x}-2} left(xge0;xne4right)
B frac{xsqrt{x}-1}{x-1} left(xge0;xne1right)
C frac{xsqrt{x}-1}{x-sqrt{x}}-frac{xsqrt{x}+1}{x+sqrt{x}}+frac{x+1}{sqrt{x}} left(x0;xne1right)
D sqrt{x+2sqrt{2x-4}}+sqrt{x-2sqrt{2x-4}} left(xge2right)
E frac{x+sqrt{x^2}-2x}{x-sqrt{x^2-2x}}-frac{x-sqrt{x^2-2x}}{x+sqrt{x^2-2x}}
Đọc tiếp
A= \(\frac{x-4\sqrt{x}+2}{\sqrt{x}-2}\) \(\left(x\ge0;x\ne4\right)\)
B= \(\frac{x\sqrt{x}-1}{x-1}\) \(\left(x\ge0;x\ne1\right)\)
C= \(\frac{x\sqrt{x}-1}{x-\sqrt{x}}-\frac{x\sqrt{x}+1}{x+\sqrt{x}}+\frac{x+1}{\sqrt{x}}\) \(\left(x>0;x\ne1\right)\)
D= \(\sqrt{x+2\sqrt{2x-4}}+\sqrt{x-2\sqrt{2x-4}}\) \(\left(x\ge2\right)\)
E= \(\frac{x+\sqrt{x^2}-2x}{x-\sqrt{x^2-2x}}-\frac{x-\sqrt{x^2-2x}}{x+\sqrt{x^2-2x}}\)
Giải phương trình:
a) 2sqrt{x^2-4}-36sqrt{x-2}-sqrt{x+2}
b) frac{sqrt{x-2016}-1}{x-2016}+frac{sqrt{y-2017}-1}{y-2017}+frac{sqrt{z-2018}-1}{z-2018}frac{3}{4}
c) sqrt{3+sqrt{3+x}}x
d) sqrt{6x^2+1}sqrt{2x-3}+x^2
e) sqrt{x^2+3x+5}+sqrt{x^2-2x+5}5sqrt{x}
f) sqrt{x^2+3x}+2sqrt{x+2}2x+sqrt{x+frac{6}{x}+5}
Đọc tiếp
Giải phương trình:
a) \(2\sqrt{x^2-4}-3=6\sqrt{x-2}-\sqrt{x+2}\)
b) \(\frac{\sqrt{x-2016}-1}{x-2016}+\frac{\sqrt{y-2017}-1}{y-2017}+\frac{\sqrt{z-2018}-1}{z-2018}=\frac{3}{4}\)
c) \(\sqrt{3+\sqrt{3+x}}=x\)
d) \(\sqrt{6x^2+1}=\sqrt{2x-3}+x^2\)
e) \(\sqrt{x^2+3x+5}+\sqrt{x^2-2x+5}=5\sqrt{x}\)
f) \(\sqrt{x^2+3x}+2\sqrt{x+2}=2x+\sqrt{x+\frac{6}{x}+5}\)
tìm x để các biểu thức sau có nghĩa :
a,sqrt{frac{4-x}{x+1}}
b,sqrt{frac{2x-3}{3x+1}}
c,sqrt{x^2-4}+sqrt{frac{x-2}{x+1}}
d,sqrt{frac{x^2-9}{x+1}}
e,sqrt{2x-1}+sqrt{x^3-4x^2-4x+16}
f,sqrt{2x-1}-sqrt{2x^3-11x^2+17x-6}
g,frac{1}{sqrt{x+3}+sqrt{x^2-1}}
Đọc tiếp
tìm x để các biểu thức sau có nghĩa :
a,\(\sqrt{\frac{4-x}{x+1}}\)
b,\(\sqrt{\frac{2x-3}{3x+1}}\)
c,\(\sqrt{x^2-4}+\sqrt{\frac{x-2}{x+1}}\)
d,\(\sqrt{\frac{x^2-9}{x+1}}\)
e,\(\sqrt{2x-1}+\sqrt{x^3-4x^2-4x+16}\)
f,\(\sqrt{2x-1}-\sqrt{2x^3-11x^2+17x-6}\)
g,\(\frac{1}{\sqrt{x+3}+\sqrt{x^2-1}}\)
a)sqrt{x^2+2x+10}+x^2+2x+80
b)15x-2x^2-5sqrt{2x^2-15x+11}
c)sqrt{9x^2+45}+sqrt{16x^2+80}+3sqrt{frac{x^2+5}{16}}-frac{1}{4}sqrt{frac{25x^2+15}{9}}9
d)3x^2+21x+18+2sqrt{x^2+7x+7}2
e)sqrt{x^2+3x+2}-2sqrt{2x^2+6x+2}-sqrt{2}
f)sqrt{x-1}+sqrt{x+3}-sqrt{x^2+2x-3}-10
Đọc tiếp
a)\(\sqrt{x^2+2x+10}+x^2+2x+8=0\)
b)\(15x-2x^2-5=\sqrt{2x^2-15x+11}\)
c)\(\sqrt{9x^2+45}+\sqrt{16x^2+80}+3\sqrt{\frac{x^2+5}{16}}-\frac{1}{4}\sqrt{\frac{25x^2+15}{9}}=9\)
d)\(3x^2+21x+18+2\sqrt{x^2+7x+7}=2\)
e)\(\sqrt{x^2+3x+2}-2\sqrt{2x^2+6x+2}=-\sqrt{2}\)
f)\(\sqrt{x-1}+\sqrt{x+3}-\sqrt{x^2+2x-3}-1=0\)
Tìm X để căn thức sau có nghĩa
a) sqrt{1-2x} c) sqrt{frac{4}{5x-3}} e)sqrt{1-x^3}
b) sqrt{frac{2}{1-x^2}} d) sqrt{frac{1}{sqrt[3]{9-x^2}}} g) sqrt{4x^2-9}
h) sqrt{frac{5-2x}{x^2+4}} i) sqrt[3]{frac{1-x}{1+x}} j) frac{1}{x+sqrt{x-4}}
k) sqrt{frac{3+x^2...
Đọc tiếp
Tìm X để căn thức sau có nghĩa
a) \(\sqrt{1-2x}\) c) \(\sqrt{\frac{4}{5x-3}}\) e)\(\sqrt{1-x^3}\)
b) \(\sqrt{\frac{2}{1-x^2}}\) d) \(\sqrt{\frac{1}{\sqrt[3]{9-x^2}}}\) g) \(\sqrt{4x^2-9}\)
h) \(\sqrt{\frac{5-2x}{x^2+4}}\) i) \(\sqrt[3]{\frac{1-x}{1+x}}\) j) \(\frac{1}{x+\sqrt{x-4}}\)
k) \(\sqrt{\frac{3+x^2}{4-x^2}}\) l) \(\sqrt{\frac{x^2}{1+x}}\)
1.a) Rút gọn: frac{2x+sqrt{x}-1}{1-x}+frac{2xsqrt{x}+x-sqrt{x}}{1+xsqrt{x}}
b) sqrt[3]{3+sqrt{17}}+sqrt[3]{3-sqrt{17}}
2. Giải phương trình:
a) sqrt{x^2-3x+2}+sqrt{x+3}sqrt{x-2}+sqrt{x^2+2x-3}
b) sqrt{2x^2-9x+4}+3sqrt{2x-1}sqrt{2x^2+21x-11}
c) x^2+2015x-20142sqrt{2017x-2016}
d) sqrt{left(1+x^2right)^3}-4x^31-3x^4
Đọc tiếp
1.a) Rút gọn: \(\frac{2x+\sqrt{x}-1}{1-x}+\frac{2x\sqrt{x}+x-\sqrt{x}}{1+x\sqrt{x}}\)
b) \(\sqrt[3]{3+\sqrt{17}}+\sqrt[3]{3-\sqrt{17}}\)
2. Giải phương trình:
a) \(\sqrt{x^2-3x+2}+\sqrt{x+3}=\sqrt{x-2}+\sqrt{x^2+2x-3}\)
b) \(\sqrt{2x^2-9x+4}+3\sqrt{2x-1}=\sqrt{2x^2+21x-11}\)
c) \(x^2+2015x-2014=2\sqrt{2017x-2016}\)
d) \(\sqrt{\left(1+x^2\right)^3}-4x^3=1-3x^4\)
tìm x để căn thức sau có nghĩa
a)sqrt{2x-1}
b)sqrt{4-x}
c)sqrt{frac{3x+1}{2}}
d)sqrt{x^2+1}
e)sqrt{x-2}+frac{1}{x^2-4}
f)sqrt{2x-1}+sqrt{3-x}
g)sqrt{frac{3}{x-1}}
h)sqrt{x^2-6x+9}
Đọc tiếp
tìm x để căn thức sau có nghĩa
a)\(\sqrt{2x-1}\)
b)\(\sqrt{4-x}\)
c)\(\sqrt{\frac{3x+1}{2}}\)
d)\(\sqrt{x^2+1}\)
e)\(\sqrt{x-2}+\frac{1}{x^2-4}\)
f)\(\sqrt{2x-1}+\sqrt{3-x}\)
g)\(\sqrt{\frac{3}{x-1}}\)
h)\(\sqrt{x^2-6x+9}\)
Rút gọn\(A=\left(1-\frac{2\sqrt{x}}{x+2}\right):\left(\frac{1}{\sqrt{x}+2}-\frac{2\sqrt{2x}}{x\sqrt{x}+2\sqrt{x}+2x+4}\right)\)
Rút gọn biểu thức sau :( chú ý đặt ĐKXĐ trước khi trước khi thực hiện rút gọn)
a,P= \(\frac{3\sqrt{x}+2}{2\sqrt{x}-1}+\frac{\sqrt{x}-1}{\sqrt{x}+4}-\frac{x-6\sqrt{x}+5}{2x+7\sqrt{x}-4}\)
b, D=\(\frac{\sqrt{x}+4}{1-7\sqrt{x}}+\frac{\sqrt{x}-2}{\sqrt{x+1}}+\frac{24\sqrt{x}}{7x+6\sqrt{x}-1}\)