\(3\sqrt{x-2}+3-x+3-x-\sqrt{x+6}=0\)
\(\Leftrightarrow\frac{3\left(x-3\right)}{\sqrt{x-2}-1}-\left(x-3\right)-\frac{\left(x+2\right)\left(x-3\right)}{x-\sqrt{x+6}}=0\)
\(\Leftrightarrow\left(x-3\right)\left(\frac{3}{\sqrt{x-2}-1}-1-\frac{x+2}{x-\sqrt{x+6}}\right)=0\)
x=3 là nghiệm
mk chỉ biết đến đấy thôi
giải PT
\(\left(\sqrt{x+3}-\sqrt{x+1}\right)\left(x^2+\sqrt{x^2+4x+3}\right)=2x\)
Giải PT: \(\sqrt{x+1}-2\sqrt{4-x}=\frac{5\left(x-3\right)}{\sqrt{2x^2+18}}\)
giải pt: \(4\left(x^2-2x\right)+16\sqrt{\left(x-3\right)\left(x+1\right)}-21=0\)
Giải phương trình:
a) \(5x^2-10x=4\left(x-1\right)\sqrt{x^2-2x+2}\)
b) \(\sqrt{2x^2+22x+29}-x-2=2\sqrt{2x+3}\)
c) \(x^3-7x^2+9x+12=\left(x-3\right)\left(x-2+5\sqrt{x-3}\right)\left(\sqrt{x-3}-1\right)\)
Giải pt:
\(3x^2+2x+3=\left(3x+1\right)\sqrt{x^2+3}\) \(x^2+3x+4=\left(x+3\right)\sqrt{x^2+x+2}\)
\(\left(4x-1\right)\sqrt{x^2+1}=2x^2+2x+1\) \(15x^2+2\left(x+1\right)\sqrt{x+2}=2-5x\)
Giải các phương trình sau:
1) \(\sqrt{3x^2+5x+8}-\sqrt{3x^2+5x+1}=1\)
2) \(x^2-2x-12+4\sqrt{\left(4-x\right)\left(2+x\right)}=0\)
3) \(3\sqrt{x}+\dfrac{3}{2\sqrt{x}}=2x+\dfrac{1}{2x}-7\)
4) \(\sqrt{x}-\dfrac{4}{\sqrt{x+2}}+\sqrt{x+2}=0\)
5)\(\left(x-7\right)\sqrt{\dfrac{x+3}{x-7}}=x+4\)
6) \(2\sqrt{x-4}+\sqrt{x-1}=\sqrt{2x-3}+\sqrt{4x-16}\)
7) \(\sqrt{x+2\sqrt{x-1}}+\sqrt{x-2\sqrt{x-1}}=\dfrac{x+3}{2}\)
Giúp mình với ajk, mink đang cần gấp
Giải pt :
a) \(x^2+3x\sqrt[3]{3x+3}-12+\frac{1}{\sqrt{x}}=\frac{\sqrt{x}+8}{x}\)
b) \(\sqrt{\left(x-1\right)\left(3-x\right)}+\sqrt{x+2}=\sqrt{x-1}+\sqrt{3-x}+\frac{x}{2}\)
Giải các phương trình sau:
a) \(\sqrt{x-1}+\sqrt{x-2}=\sqrt{x+1}\)
b) \(x^2+2x+3\sqrt{x^2+2x+2}-6=0\)
c) \(\sqrt{\left(x+1\right)\left(2-x\right)}-1+2x=2x^2\)
d) \(\sqrt{\frac{2x}{x+1}}+\sqrt{\frac{x+1}{2x}}=2\)
Giai pt:
a, \(x^2+\sqrt[3]{x^4-x^2}=2x+1\)
b, \(x+1+\sqrt{x^2-4x+1}=3\sqrt{x}\)
c, \(\sqrt{2x^2+7x+10}+\sqrt{2x^2+x+4}=3\left(x+1\right)\)
d, \(2\left(x^2-3x+2\right)=3\sqrt{x^3+8}\)
Mong moi nguoi giup do, em can gap !!!
