Ôn tập chương 1: Căn bậc hai. Căn bậc ba
Các câu hỏi tương tự
Giải PT: \(\sqrt{x-1}+\sqrt{x+3}+2\sqrt{\left(x-1\right)\left(x^2-3x+5\right)}=4-2x\)
Giải pt:
a)\(\sqrt{x^2+3x+2}+\sqrt{x^2+6x+5}=\sqrt{2x^2+9x+7}\)
b)\(\sqrt{2x+3}+\sqrt{x+1}=3x+2\sqrt{2x^2+5x+3}-2\)
6 tháng 8 2021 lúc 19:56
Giải phương trình:1. sqrt{dfrac{42}{5-x}}+sqrt{dfrac{60}{7-x}}62. sqrt{x^2-3x+2}+sqrt{x+3}sqrt{x-2}+sqrt{x^2+2x-3}3. x^2+x+12sqrt{x+1}364. sqrt{x+2}-sqrt{x-6}25. sqrt[3]{x-1}-sqrt[3]{x-3}sqrt[3]{2}6. 5sqrt{1+x^3}2left(x^2+2right)6. left(sqrt{x+5}-sqrt{x+2}right)left(1+sqrt{x^2+7x+10}right)3
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Giải phương trình:
1. \(\sqrt{\dfrac{42}{5-x}}+\sqrt{\dfrac{60}{7-x}}=6\)
2. \(\sqrt{x^2-3x+2}+\sqrt{x+3}=\sqrt{x-2}+\sqrt{x^2+2x-3}\)
3. \(x^2+x+12\sqrt{x+1}=36\)
4. \(\sqrt{x+2}-\sqrt{x-6}=2\)
5. \(\sqrt[3]{x-1}-\sqrt[3]{x-3}=\sqrt[3]{2}\)
6. \(5\sqrt{1+x^3}=2\left(x^2+2\right)\)
6. \(\left(\sqrt{x+5}-\sqrt{x+2}\right)\left(1+\sqrt{x^2+7x+10}\right)=3\)
Giải PT:a) dfrac{1}{2}sqrt{x-1}-dfrac{3}{2}sqrt{9x-9}+24sqrt{dfrac{x-1}{64}}-17b) sqrt{18x-9}-0,5sqrt{2x-1}+dfrac{1}{2}sqrt{25left(2x-1right)}+sqrt{49left(2x-1right)}24c) sqrt{36x-72}-15sqrt{dfrac{x-2}{25}}4left(5+sqrt{x-2}right)d) sqrt{dfrac{1}{3x+2}}-dfrac{1}{2}sqrt{dfrac{9}{3x+2}}+sqrt{dfrac{16}{3x+2}}-5sqrt{dfrac{1}{12x+8}}1e) dfrac{1}{2}sqrt{dfrac{49x}{x+2}}-3sqrt{dfrac{x}{4x+8}}-sqrt{dfrac{x}{x+2}}-sqrt{5}0
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Giải PT:
a) \(\dfrac{1}{2}\sqrt{x-1}-\dfrac{3}{2}\sqrt{9x-9}+24\sqrt{\dfrac{x-1}{64}}=-17\)
b) \(\sqrt{18x-9}-0,5\sqrt{2x-1}+\dfrac{1}{2}\sqrt{25\left(2x-1\right)}+\sqrt{49\left(2x-1\right)}=24\)
c) \(\sqrt{36x-72}-15\sqrt{\dfrac{x-2}{25}}=4\left(5+\sqrt{x-2}\right)\)
d) \(\sqrt{\dfrac{1}{3x+2}}-\dfrac{1}{2}\sqrt{\dfrac{9}{3x+2}}+\sqrt{\dfrac{16}{3x+2}}-5\sqrt{\dfrac{1}{12x+8}}=1\)
e) \(\dfrac{1}{2}\sqrt{\dfrac{49x}{x+2}}-3\sqrt{\dfrac{x}{4x+8}}-\sqrt{\dfrac{x}{x+2}}-\sqrt{5}=0\)
giải các phương trình sau:
\(\sqrt{x^2+6x+9}=3x-6\)
\(\sqrt{x^2-2x+1}=\sqrt{4x^2-4x+1}\)
\(\sqrt{4-5x}=2-5x\)
\(\sqrt{4-5x}=\sqrt{2-5x}\)
Giải các pt sau:
1) \(\sqrt{x+3}+2x\sqrt{x+1}=2x+\sqrt{x^2+4x+3}\)
2) \(2\sqrt{x+3}=9x^2-x-4\)
3) \(1+\dfrac{2}{3}\sqrt{x-x^2}=\sqrt{x}+\sqrt{1-x}\)
4) \(\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}}=1\)
5) \(\sqrt{x+2\sqrt{x-1}}+\sqrt{x-2\sqrt{x-1}}=\dfrac{x+3}{2}\)
giải phương trình
a, \(\sqrt{x^2+2x}+\sqrt{2x-1}=\sqrt{3x^2+4x+1}\)
b, \(\sqrt{5x^2+14x+9}-\sqrt{x^2-x-20}=5\sqrt{x+1}\)
giải phương trình vô tỉ sau
1 ) \(\sqrt{3x^2-1}+\sqrt{x^2-x}-x\sqrt{x^2+1}=\dfrac{1}{2.\sqrt{2}}.\left(7x^2-x+4\right)\)
2) \(\left(x+3\right)\sqrt{\left(4-x\right)\left(x+12\right)}=28-x\)
3) \(x^4+2x^3+2x^2-2x+1=\left(x^3+x\right)\sqrt{\dfrac{1-x^2}{x}}\)
1.Tính: a, sqrt{left(5-sqrt{3}right)^2}-sqrt{left(sqrt{3}-2right)^2}
b, Bleft(2-sqrt{3}right).sqrt{26+15sqrt{3}}-left(2+sqrt{3}right).sqrt{26-15sqrt{3}}
c, sqrt{sqrt{5}-sqrt{3-sqrt{29-12sqrt{5}}}}
d, Aleft(sqrt{10}-sqrt{2}right)sqrt{3+sqrt{5}}
2.Giải pt:
a,sqrt{x^2-3x-2}x-2
b,5sqrt{x-1}-sqrt{36x-36}+sqrt{9x-9}sqrt{8x+12}
c,sqrt{x}+sqrt{1-x}+sqrt{xleft(1-xright)}1
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1.Tính: a, \(\sqrt{\left(5-\sqrt{3}\right)^2}-\sqrt{\left(\sqrt{3}-2\right)^2}\)
b, B=\(\left(2-\sqrt{3}\right).\sqrt{26+15\sqrt{3}}-\left(2+\sqrt{3}\right).\sqrt{26-15\sqrt{3}}\)
c, \(\sqrt{\sqrt{5}-\sqrt{3-\sqrt{29-12\sqrt{5}}}}\)
d, A=\(\left(\sqrt{10}-\sqrt{2}\right)\sqrt{3+\sqrt{5}}\)
2.Giải pt:
a,\(\sqrt{x^2-3x-2}=x-2\)
b,\(5\sqrt{x-1}-\sqrt{36x-36}+\sqrt{9x-9}=\sqrt{8x+12}\)
c,\(\sqrt{x}+\sqrt{1-x}+\sqrt{x\left(1-x\right)}=1\)