Các câu hỏi tương tự
Giải các phương trình dưới đây
1, \(\sqrt{9x^2-6x+2}+\sqrt{45x^2-30x+9}=\sqrt{6x-9x^2+8}\)
2,\(\sqrt{2x^2-4x+3}+\sqrt{3x^2-6x+7}=2-x^2+2x\)
3, \(\sqrt{6y-y^2-5}-\sqrt{x^2-6x+10}=1\) (x=3 ; y=3)
1) \(\sqrt{x^2-9}+\sqrt{x^2-6x+9}=0\)
2) \(\sqrt{2x-2+2\sqrt{2x-3}}+\sqrt{2x+13+8\sqrt{2x-3}}=5\)
GIẢI PHƯƠNG TRÌNH:
a)\(\sqrt{3x^2+6x+7}+\sqrt{5x^2+10x+14}=4-2x-x^2\)
b)\(\sqrt{x^2-4x+5}+\sqrt{x^2-4x+8}+\sqrt{x^2-4x+9}=3+\sqrt{5}\)
c)\(\sqrt{2-x^2+2x}+\sqrt{-x^2-6x-8}=1+\sqrt{3}\)
d)\(\sqrt{9x^2-6x+2}+\sqrt{45x^2-30x+9}=\sqrt{6x-9x^2+8}\)
\(\left(5\right)\sqrt{x+3-4\sqrt{x-1}}\sqrt{x+8+6\sqrt{x-1}}=5\)
\(\left(6\right)2x^2+3x+\sqrt{2x^2+3x+9}=33\)
\(\left(7\right)\sqrt{3x^2+6x+12}+\sqrt{5x^4-10x^2+30}=8\)
\(\left(8\right)x+y+z+8=2\sqrt{x-1}+4\sqrt{y-2}+6\sqrt{z-3}\)
phương pháp 1 biến đổi về phương trình có chứa dấu giá trị tuyệt đối
1. \(\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8+6\sqrt{x-1}}=5\)
2. \(\sqrt{x+2-3\sqrt{2x-5}}+\sqrt{x-2+\sqrt{2x-5}}=2\sqrt{2}\)
3. \(\sqrt{x+\sqrt{6x-9}}+\sqrt{x-\sqrt{6x-9}}=\sqrt{6}\)
4. \(\sqrt{x+2\sqrt{x-1}}+\sqrt{x-2\sqrt{x-1}}=\dfrac{x+8}{5}\)
Giải phương trình:
a. \(\sqrt{x^2-4}-x^2+4=0\)
b. \(\sqrt{x^2-4x+5}+\sqrt{x^2-4x+8}+\sqrt{x^2-4x+9}=3+\sqrt{5}\)
c. \(\sqrt{2-x^2+2x}+\sqrt{-x^2-6x-8}=1+\sqrt{3}\)
d. \(\sqrt{9x^2+6x+2}+\sqrt{45x^2-30x+9}=\sqrt{6x-9x^2+8}\)
Giải phương trình:a)sqrt{sqrt{5}-sqrt{3x}}sqrt{8+2sqrt{15}}b)sqrt{4x-20}-3sqrt{dfrac{x-5}{9}}sqrt{1-x}c) sqrt{4x+8}+2sqrt{x+2}-sqrt{9x+18}1d) sqrt{x^2-6x+9}+x11e) sqrt{3x^2-4x+3}1-2xf) sqrt{16left(x+1right)}-sqrt{9left(x+1right)}4g) sqrt{9x+9}+sqrt{4x+4}sqrt{x+1}
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Giải phương trình:
a)\(\sqrt{\sqrt{5}-\sqrt{3x}}=\sqrt{8+2\sqrt{15}}\)
b)\(\sqrt{4x-20}-3\sqrt{\dfrac{x-5}{9}}=\sqrt{1-x}\)
c) \(\sqrt{4x+8}+2\sqrt{x+2}-\sqrt{9x+18}=1\)
d) \(\sqrt{x^2-6x+9}+x=11\)
e) \(\sqrt{3x^2-4x+3}=1-2x\)
f) \(\sqrt{16\left(x+1\right)}-\sqrt{9\left(x+1\right)}=4\)
g) \(\sqrt{9x+9}+\sqrt{4x+4}=\sqrt{x+1}\)
\(\sqrt{2-x^2+2x}+\sqrt{-x^2-6x-8}=1+\sqrt{3}\)TÌM X
giải phương trình :1, sqrt{4-x^2}+2sqrt[3]{x^4-4x^3+4x^2}left(x-1right)^2+1-left|xright|2, 2x^3+9x^2-6xleft(1+2sqrt{6x-1}right)+2sqrt{6x-1}+803, x^3-3x+1sqrt{8-3x^2}4, left(4x^2+x-1right)sqrt{x^2+x+2}left(4x^2+3x+5right)sqrt{x^2-1}5, sqrt[3]{3-x^3}2x^3+x-36, sqrt[3]{x^2+3x+3}+sqrt[3]{2x^2+3x+2}6x^2+12x+87, frac{x^2+2x-8}{x^2-2x+3}left(x+1right)left(sqrt{x+2}-2right)8, frac{4x-1}{sqrt{4x-3}}+frac{11-2x}{sqrt{5-x}}frac{15}{2}9, ...
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giải phương trình :
1, \(\sqrt{4-x^2}+2\sqrt[3]{x^4-4x^3+4x^2}=\left(x-1\right)^2+1-\left|x\right|\)
2, \(2x^3+9x^2-6x\left(1+2\sqrt{6x-1}\right)+2\sqrt{6x-1}+8=0\)
3, \(x^3-3x+1=\sqrt{8-3x^2}\)
4, \(\left(4x^2+x-1\right)\sqrt{x^2+x+2}=\left(4x^2+3x+5\right)\sqrt{x^2-1}\)
5, \(\sqrt[3]{3-x^3}=2x^3+x-3\)
6, \(\sqrt[3]{x^2+3x+3}+\sqrt[3]{2x^2+3x+2}=6x^2+12x+8\)
7, \(\frac{x^2+2x-8}{x^2-2x+3}=\left(x+1\right)\left(\sqrt{x+2}-2\right)\)
8, \(\frac{4x-1}{\sqrt{4x-3}}+\frac{11-2x}{\sqrt{5-x}}=\frac{15}{2}\)
9, \(x^2-4x+14+\sqrt{x+4}=2\sqrt{1+12x}+\sqrt{1+\sqrt{1+12x}}\)
a) \(\sqrt{x^2-2x+1}+\sqrt{x^2}-6x+9=1\)
b) \(\sqrt{2x^2-3}=\sqrt{4x-3}\)
c) \(\sqrt{1-x^2}=\sqrt{x-1}\)