Chương 3: PHƯƠNG TRÌNH, HỆ PHƯƠNG TRÌNH
Các câu hỏi tương tự
1. Giải các phương trình sau: a)sqrt[4]{x-sqrt{x^2-1}}+sqrt[]{x+sqrt{x^2-1}}2b)x^2-x-sqrt{x^2-x+13}7c)x^2+2sqrt{x^2-3x+1}3x+4d)2x^2+5sqrt{x^2+3x+5}23-6xe)sqrt{x^2+2x}-2x^2-4x+3f)sqrt{left(x+1right)left(x+2right)}x^2+3x+42. Giải các bất phương trình sau:1)sqrt{x^2-4x+5}ge2x^2-8x2)2x^2+4x+3sqrt{3-2x-x^2}13)dfrac{sqrt{-3x+16x-5}}{x-1}le24)sqrt{x^2-3x+2}+sqrt{x^2-4x+3}ge2sqrt{x^2-5x+4}5)dfrac{9x^2-4}{sqrt{5x^2-1}}le3x+2
Đọc tiếp
1. Giải các phương trình sau:
a)\(\sqrt[4]{x-\sqrt{x^2-1}}+\sqrt[]{x+\sqrt{x^2-1}}=2\)
b)\(x^2-x-\sqrt{x^2-x+13}=7\)
c)\(x^2+2\sqrt{x^2-3x+1}=3x+4\)
d)\(2x^2+5\sqrt{x^2+3x+5}=23-6x\)
e)\(\sqrt{x^2+2x}=-2x^2-4x+3\)
f)\(\sqrt{\left(x+1\right)\left(x+2\right)}=x^2+3x+4\)
2. Giải các bất phương trình sau:
1)\(\sqrt{x^2-4x+5}\ge2x^2-8x\)
2)\(2x^2+4x+3\sqrt{3-2x-x^2}>1\)
3)\(\dfrac{\sqrt{-3x+16x-5}}{x-1}\le2\)
4)\(\sqrt{x^2-3x+2}+\sqrt{x^2-4x+3}\ge2\sqrt{x^2-5x+4}\)
5)\(\dfrac{9x^2-4}{\sqrt{5x^2-1}}\le3x+2\)
1. x^3-x^2+12xsqrt{x-1}+200
2. x^3+sqrt{left(x-1right)^3}9x+8
3. sqrt{2x^2+x+1}+sqrt{x^2-x+1}3x
4. x^6+left(x^3-3right)^33x^5-9x^2-1
5. x^2-6left(x+3right)sqrt{x+1}+14x+3sqrt{x+1}+130
6. x^2-4x+left(x-3right)sqrt{x^2-x+1}-1
7. sqrt{2x-1}+sqrt{5-x}x-2+2sqrt{-2x^2+11x-5}
8. sqrt{5x+11}-sqrt{6-x}+5x^2-14x-600
9. x^2+6x+83sqrt{x+2}
10. 2x^2+3x-2left(2x-1right)sqrt{2x^2+x-3}
11. sqrt{x+1}+sqrt{4-x}-sqrt{left(x+1right)left(4-xright)}1
12. x^2-sqrt{x^2-4x}4left(...
Đọc tiếp
1. \(x^3-x^2+12x\sqrt{x-1}+20=0\)
2. \(x^3+\sqrt{\left(x-1\right)^3}=9x+8\)
3. \(\sqrt{2x^2+x+1}+\sqrt{x^2-x+1}=3x\)
4. \(x^6+\left(x^3-3\right)^3=3x^5-9x^2-1\)
5. \(x^2-6\left(x+3\right)\sqrt{x+1}+14x+3\sqrt{x+1}+13=0\)
6. \(x^2-4x+\left(x-3\right)\sqrt{x^2-x+1}=-1\)
7. \(\sqrt{2x-1}+\sqrt{5-x}=x-2+2\sqrt{-2x^2+11x-5}\)
8. \(\sqrt{5x+11}-\sqrt{6-x}+5x^2-14x-60=0\)
9. \(x^2+6x+8=3\sqrt{x+2}\)
10. \(2x^2+3x-2=\left(2x-1\right)\sqrt{2x^2+x-3}\)
11. \(\sqrt{x+1}+\sqrt{4-x}-\sqrt{\left(x+1\right)\left(4-x\right)}=1\)
12. \(x^2-\sqrt{x^2-4x}=4\left(x+3\right)\)
13. \(x^2-x-4=2\sqrt{x-1}\left(1-x\right)\)
14. \(\frac{1}{\sqrt{x}+1}+\frac{1}{\sqrt{x}-1}=1\)
15. \(\sqrt{2x^2+3x+2}+\sqrt{4x^2+6x+21}=11\)
16. \(\sqrt{x+3+3\sqrt{2x-3}}+\sqrt{x-1+\sqrt{2x-1}}=2\sqrt{2}\)
17. \(\left(x-2\right)^2\left(x-1\right)\left(x-3\right)=12\)
18. \(2x^2+\sqrt{x^2-2x-19}=4x+74\)
19. \(x^4+x^2-20=0\)
20. \(x+\sqrt{4-x^2}=2+3x\sqrt{4-x^2}\)
21. \(\left(x^2+x+1\right)\left(\sqrt[3]{\left(3x-2\right)^2}+\sqrt[3]{3x-2}+1\right)=9\)
22. \(\sqrt{x^2-3x+5}+x^2=3x+7\)
23. \(x^2+6x+5=\sqrt{x+7}\)
24. \(\frac{2x^2-3x+10}{x+2}=3\sqrt{\frac{x^2-2x+4}{x+2}}\)
25. \(5\sqrt{x-1}-\sqrt{x+7}=3x-4\)
26. \(2\left(x^2+2\right)=5\sqrt{x^3+1}\)
27. \(\sqrt{x-1}+\sqrt{5-x}-2=2\sqrt{\left(x-1\right)\left(5-x\right)}\)
28. \(x^2+\frac{9x^2}{\left(x-3\right)^2}=40\)
29. \(\frac{26x+5}{\sqrt{x^2+30}}+2\sqrt{26x+5}=3\sqrt{x^2+30}\)
30. \(\frac{\sqrt{27+x^2+x}}{2+\sqrt{5-\left(x^2+x\right)}}=\frac{\sqrt{27+2x}}{2+\sqrt{5-2x}}\)
26 tháng 10 2019 lúc 22:59
giải pt
a) 3sqrt{x}+frac{3}{2sqrt{x}}2x+frac{1}{2x}-7
b) 5sqrt{x}+frac{5}{2sqrt{x}}2x+frac{1}{2x}+4
c) sqrt{2x^2+8x+5}+sqrt{2x^2-4x+5}6sqrt{x}
d) x+1+sqrt{x^2-4x+1}3sqrt{x}
e) x^2+2xsqrt{x-frac{1}{x}}3x+1
f) x^2-6x+xsqrt{frac{x^2-6}{x}}-60
g) frac{3x^2}{3+sqrt{x}}+6+2sqrt{x}5x
h) frac{x^2}{4-3sqrt{x}}+83left(x+2sqrt{x}right)
Đọc tiếp
giải pt
a) \(3\sqrt{x}+\frac{3}{2\sqrt{x}}=2x+\frac{1}{2x}-7\)
b) \(5\sqrt{x}+\frac{5}{2\sqrt{x}}=2x+\frac{1}{2x}+4\)
c) \(\sqrt{2x^2+8x+5}+\sqrt{2x^2-4x+5}=6\sqrt{x}\)
d) \(x+1+\sqrt{x^2-4x+1}=3\sqrt{x}\)
e) \(x^2+2x\sqrt{x-\frac{1}{x}}=3x+1\)
f) \(x^2-6x+x\sqrt{\frac{x^2-6}{x}}-6=0\)
g) \(\frac{3x^2}{3+\sqrt{x}}+6+2\sqrt{x}=5x\)
h) \(\frac{x^2}{4-3\sqrt{x}}+8=3\left(x+2\sqrt{x}\right)\)
1)2x(25x-4)-(5x-2)(5x+1)8 / 5)2left(x-2right)-3left(3x-1right)left(x-3right)
2)x(4x-3)-(2x-2)(2x-1)5 / 6)frac{2}{x+1}-frac{1}{x-2}frac{3x-11}{left(x+1right)left(x-2right)}
3)frac{5}{2x+3}+frac{3}{9-x^2}frac{8}{7left(x3right)} / 7)frac{5x-2}{6}+frac{3-4x}{2}2-frac{x+7}{3}
4)frac{2}{3left(x-2right)}+frac{5}{12-3x^2}frac{3}{4left(x+2right)} /...
Đọc tiếp
1)2x(25x-4)-(5x-2)(5x+1)=8 / 5)\(2\left(x-2\right)-3\left(3x-1\right)=\left(x-3\right)\)
2)x(4x-3)-(2x-2)(2x-1)=5 / 6)\(\frac{2}{x+1}-\frac{1}{x-2}=\frac{3x-11}{\left(x+1\right)\left(x-2\right)}\)
3)\(\frac{5}{2x+3}+\frac{3}{9-x^2}=\frac{8}{7\left(x=3\right)}\) / 7)\(\frac{5x-2}{6}+\frac{3-4x}{2}=2-\frac{x+7}{3}\)
4)\(\frac{2}{3\left(x-2\right)}+\frac{5}{12-3x^2}=\frac{3}{4\left(x+2\right)}\) / 8)\(\frac{2}{x+1}-\frac{1}{x-2}=\frac{3x-11}{\left(x+1\right)\left(x-2\right)}\)
Giải phương trình:
a) sqrt{x+2}sqrt{2x+1}+xsqrt{x+2}
b) 2+sqrt{3-8x}6x+sqrt{4x-1}
c) sqrt{10x+1}+sqrt{3x-5}sqrt{9x+4}+sqrt{2x-1}
d) 1+sqrt{x^2+4x}sqrt{x^2-3x+3}+sqrt{2x^2+x+2}
e) sqrt{x^2+15}3x-2+sqrt{x^2+8}
f) left(sqrt{x+5}-sqrt{x+2}right)left(1+sqrt{x^2+7x+10}right)3
g) sqrt{3x^2-7x+3}-sqrt{x^2-2}sqrt{3x^2-5x-1}-sqrt{x^2-3x+4}
h) sqrt{2x^2+x-1}+sqrt{3x^2+x-1}sqrt{x^2+4x-3}+sqrt{2x^2+4x-3}
Đọc tiếp
Giải phương trình:
a) \(\sqrt{x+2}=\sqrt{2x+1}+x\sqrt{x+2}\)
b) \(2+\sqrt{3-8x}=6x+\sqrt{4x-1}\)
c) \(\sqrt{10x+1}+\sqrt{3x-5}=\sqrt{9x+4}+\sqrt{2x-1}\)
d) \(1+\sqrt{x^2+4x}=\sqrt{x^2-3x+3}+\sqrt{2x^2+x+2}\)
e) \(\sqrt{x^2+15}=3x-2+\sqrt{x^2+8}\)
f) \(\left(\sqrt{x+5}-\sqrt{x+2}\right)\left(1+\sqrt{x^2+7x+10}\right)=3\)
g) \(\sqrt{3x^2-7x+3}-\sqrt{x^2-2}=\sqrt{3x^2-5x-1}-\sqrt{x^2-3x+4}\)
h) \(\sqrt{2x^2+x-1}+\sqrt{3x^2+x-1}=\sqrt{x^2+4x-3}+\sqrt{2x^2+4x-3}\)
6 tháng 11 2019 lúc 23:59
giải pt
a) \(\sqrt{x^2+x+1}+\sqrt{3x^2+3x+2}=\sqrt{5x^2+5x-1}\)
b) \(\sqrt{x^2+x+4}+\sqrt{x^2+x+1}=\sqrt{2x^2+2x+9}\)
c) \(\sqrt{3x^2-5x+7}+\sqrt{3x^2-7x+2}=3\)
d) \(\sqrt{x^2+3x+2}=\sqrt{2x^2+9x+7}-\sqrt{x^2+6x+5}\)
23 tháng 11 2019 lúc 23:32
giải pt
a) \(\sqrt{x+1}+\sqrt{x}+2\sqrt{x^2+x}=1-2x\)
b) \(\sqrt{x-2}-\sqrt{x+2}=2\sqrt{x^2-4}-2x+2\)
c) \(\sqrt{2x+3}+\sqrt{x+1}=3x+2\sqrt{2x^2+5x+3}-16\)
d) \(2\sqrt{x}\left(\sqrt{x+1}-2\sqrt{x}\right)+\sqrt{x+1}+\sqrt{x}=1-6x\)
e) \(x^2+2x+\sqrt{x+3}+2x\sqrt{x+3}=9\)
22 tháng 10 2019 lúc 17:12
Giải pt
a) 2x^2+sqrt{x^2-5x-6}10x+15
b) 5sqrt{3x^2-4x-2}-6x^2+8x+70
c) x^2+sqrt{2x^2+4x+3}6-2x
d) 2sqrt{frac{3x-1}{x}}frac{x}{3x-1}+1
e) sqrt{frac{24x-4}{x}}frac{x}{6x-1}+1
f) sqrt{frac{2x-1}{x}}+1+sqrt{frac{x}{2x-1}}frac{3x}{2x-1}
Đọc tiếp
Giải pt
a) \(2x^2+\sqrt{x^2-5x-6}=10x+15\)
b) \(5\sqrt{3x^2-4x-2}-6x^2+8x+7=0\)
c) \(x^2+\sqrt{2x^2+4x+3}=6-2x\)
d) \(2\sqrt{\frac{3x-1}{x}}=\frac{x}{3x-1}+1\)
e) \(\sqrt{\frac{24x-4}{x}}=\frac{x}{6x-1}+1\)
f) \(\sqrt{\frac{2x-1}{x}}+1+\sqrt{\frac{x}{2x-1}}=\frac{3x}{2x-1}\)
Giải các phương trình sau:
a)frac{2x-5}{2x^2+3x-5}+frac{3x+1}{1-x}frac{x+20}{4x+10}
b)sqrt{5x+1}sqrt{14x+7}+sqrt{2x+3}
c)sqrt{x+3}-sqrt{x+1}sqrt{5x+7}
d)sqrt{left(x-3right)^2left(x-1right)}x-3
e)sqrt{x^2+2x+2}1-x
f)sqrt{x^4+x^2+4}x^2+2
g)2x^2-6x+1sqrt{4x+5}
h)x^2+sqrt{x+11}11
Đọc tiếp
Giải các phương trình sau:
a)\(\frac{2x-5}{2x^2+3x-5}+\frac{3x+1}{1-x}=\frac{x+20}{4x+10}\)
b)\(\sqrt{5x+1}=\sqrt{14x+7}+\sqrt{2x+3}\)
c)\(\sqrt{x+3}-\sqrt{x+1}=\sqrt{5x+7}\)
d)\(\sqrt{\left(x-3\right)^2\left(x-1\right)}=x-3\)
e)\(\sqrt{x^2+2x+2}=1-x\)
f)\(\sqrt{x^4+x^2+4}=x^2+2\)
g)\(2x^2-6x+1=\sqrt{4x+5}\)
h)\(x^2+\sqrt{x+11}=11\)