ĐKXĐ:....
\(\Leftrightarrow3x^2+x+1+x+2-\sqrt{9x-5}=0\)
\(\Leftrightarrow3x^2+x+1+\frac{x^2-5x+9}{x+2+\sqrt{9x}-5}=0\)
\(\left\{{}\begin{matrix}3x^2+x+1>0\\x^2-5x+9>0\end{matrix}\right.\) \(\Rightarrow\) phương trình vô nghiệm
Ôn tập chương 1: Căn bậc hai. Căn bậc ba
Các câu hỏi tương tự
Giải pt:
a)\(\sqrt{x^2+3x+2}+\sqrt{x^2+6x+5}=\sqrt{2x^2+9x+7}\)
b)\(\sqrt{2x+3}+\sqrt{x+1}=3x+2\sqrt{2x^2+5x+3}-2\)
giải phương trình
a, \(\sqrt{4x-20}+3\sqrt{\dfrac{x-5}{9}}-\dfrac{1}{3}\sqrt{9x-45}=4\)
b, \(2x-x^2+\sqrt{6x^2-12x+7}=0\)
c, \(\dfrac{9x-7}{\sqrt{7x+5}}=\sqrt{7x+5}\)
Tìm x :
a, sqrt{x^2-2x}sqrt{2-3x}
b, sqrt{x-3}-2sqrt{x^2-9}0
c, sqrt{4x-20}+sqrt{x-5}-frac{1}{3}sqrt{9x-45}4
d, frac{1}{2}sqrt{x-1}-frac{3}{2}sqrt{9x-9}+24sqrt{frac{x-1}{64}}-17
e, sqrt{9x^2+18}+2sqrt{x^2+2}-sqrt{25x^2+50}+30
f, sqrt{x^2-4}-x+20
Đọc tiếp
Tìm x :
a, \(\sqrt{x^2-2x}=\sqrt{2-3x}\)
b, \(\sqrt{x-3}-2\sqrt{x^2-9}=0\)
c, \(\sqrt{4x-20}+\sqrt{x-5}-\frac{1}{3}\sqrt{9x-45}=4\)
d, \(\frac{1}{2}\sqrt{x-1}-\frac{3}{2}\sqrt{9x-9}+24\sqrt{\frac{x-1}{64}}=-17\)
e, \(\sqrt{9x^2+18}+2\sqrt{x^2+2}-\sqrt{25x^2+50}+3=0\)
f, \(\sqrt{x^2-4}-x+2=0\)
\(\sqrt{3x+19}-5=x\)
\(2\sqrt{x}=\sqrt{9x-3}\)
\(\sqrt[3]{x-5}+\sqrt[3]{2x-1}-\sqrt[3]{3x+2}=-2\)
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
Đọc tiếp
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) \(\dfrac{1}{2}\sqrt{\dfrac{49x}{x+2}}-3\sqrt{\dfrac{x}{4x+8}}-\sqrt{\dfrac{x}{x+2}}-\sqrt{5}=0\)
NT
4 tháng 8 2021 lúc 11:47
Giải phương trính:
1. \(\sqrt{x^2+x-1}+\sqrt{x-x^2+1}=x^2-x+2\)
2. \(\sqrt{2x-3}+\sqrt{5-2x}=3x^2-12x+14\)
giải pt vô tỉ:
\(\sqrt{2x^2-9x+4}+3\sqrt{2x-1}=\sqrt{2x^2+21x-11}\)
giải phương trình vô tỉ sau
1) \(\sqrt{9x^2-15x+9}+\sqrt{x^3+3x^2-3x+1}+x=2\)
2) \(4x^4+x^2+3x+4=3\sqrt[3]{16x^3+12x}\)