a)\(\sqrt{3x}=\sqrt{5}\)
\(\Leftrightarrow3x=5\Leftrightarrow x=\dfrac{5}{3}\)
b)\(\sqrt{x-5}=\sqrt{3x+2}\)
\(\Leftrightarrow x-5=3x+2\)
\(\Leftrightarrow-2x=7\Leftrightarrow x=-\dfrac{7}{2}\)
giải phương trình
a, \(\sqrt{x^2+2x}+\sqrt{2x-1}=\sqrt{3x^2+4x+1}\)
b, \(\sqrt{5x^2+14x+9}-\sqrt{x^2-x-20}=5\sqrt{x+1}\)
Giair phương trình:
1) \(\sqrt[5]{32-x^2}-\sqrt[5]{1-x^2}=4\)
2) \(\sqrt{x}+\sqrt[4]{20-x}=4\)
3) \(x^3+1=2\sqrt{3x-1}\)
4) \(\sqrt[3]{x-1}+3=\sqrt[4]{82-x}\)
5)
\(a.\left(x+3\sqrt{x}+2\right)\left(x+9\sqrt{x}+18\right)=168x\)
\(b.\sqrt{5x^2+14x+9}-\sqrt{x^2-x-20}=5\sqrt{x+1}\)
Giải pt:
a)\(\sqrt{x^2+3x+2}+\sqrt{x^2+6x+5}=\sqrt{2x^2+9x+7}\)
b)\(\sqrt{2x+3}+\sqrt{x+1}=3x+2\sqrt{2x^2+5x+3}-2\)
a)\(\sqrt{9+x}=5-\sqrt{4+2x}\)
b)\(\sqrt{8+3x}-\sqrt{5+3x}=\sqrt{5x-4}-\sqrt{5x-7}\)
1.Tìm x
a)\(\sqrt{x-1}+\sqrt{x+3}+2\sqrt{(x-1)(x+3)}=4-2x\)
b)\(\sqrt{3x-2}+\sqrt{x-1}=4x-9+2\sqrt{3x^2-5x+2}\)
Tìm x:
a,\(\dfrac{\left(7-x\right)\sqrt{7-x}+\left(x-5\right)\sqrt{x-5}}{\sqrt{7-x}+\sqrt{x-5}}\) =2
b,\(\sqrt{3x^2-4x}=2x-3\)
Giải phương trình
a) x2-3x+1=5\(\sqrt{x^3-1}\)
b)x2-3x+1=5\(\dfrac{\sqrt{3}}{3}\sqrt{x^4+x^2+1}\)
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 phương trình
a,1+\(\sqrt{3x+1}\)=3x
b,\(\sqrt{2+\sqrt{3x-5}}\)=\(\sqrt{x+1}\)
c,\(\sqrt{\dfrac{5x+7}{x+3}}\)=4
d,\(\dfrac{\sqrt{5x+7}}{\sqrt{x+3}}\)=4
