Bài 1: Căn bậc hai
Các câu hỏi tương tự
1)
a) gpt \(\sqrt{5-3x}+\sqrt{x+1}=\sqrt{3x^2-4x+4}\)
b) ghpt \(\left\{{}\begin{matrix}2xy+4x+3y+6=0\\4x^2+y^2+12x+4y+9=0\end{matrix}\right.\)
giải pt vô tỉ sau
\(3x\left(2+\sqrt{9x^2+3}\right)+\left(4x+2\right)\left(1+\sqrt{1+x+x^2}\right)=0\)
Giải phương trình :
1. \(x^2-3x-10+3\sqrt{x\left(x-3\right)}=0\)
2. \(\sqrt{\left(\sqrt{x-1}+1\right)^2}+\sqrt{\left(2-\sqrt{x-1}\right)^2}=5\)
Giải phương trình
\(\frac{3\left(x-\sqrt{3}\right)\left(x-\sqrt{5}\right)}{\left(1-\sqrt{3}\right)\left(1-\sqrt{5}\right)}+\frac{4\left(x-1\right)\left(x-\sqrt{5}\right)}{\left(\sqrt{3}-1\right)\left(\sqrt{3}-\sqrt{5}\right)}+\frac{5\left(x-1\right)\left(x+\sqrt{3}\right)}{\left(\sqrt{5}-1\right)\left(\sqrt{5}-\sqrt{3}\right)}=3x-2\)
Bài toán :
Giải phương trình :
\(\frac{3.\left(x-\sqrt{3}\right)\left(x-\sqrt{5}\right)}{\left(1-\sqrt{3}\right)\left(1-\sqrt{5}\right)}+\frac{4\left(x-1\right)\left(x-\sqrt{5}\right)}{\left(\sqrt{3}-1\right)\left(\sqrt{3}-5\right)}+\frac{5\left(x-1\right)\left(x-\sqrt{3}\right)}{\left(\sqrt{5}-1\right)\left(\sqrt{5}-\sqrt{3}\right)}=3x-2\)
Cho \(x=\frac{1}{2}\sqrt{\frac{\sqrt{2}-1}{\sqrt{2}+1}}\). Tính:
\(M=\left(4x^5+4x^4-x^3+1\right)^{19}+\left(\sqrt{4x^5+4x^4-5x^3+5x+3}\right)^3+\left(\frac{1-\sqrt{2}}{\sqrt{2x^2+2x}}\right)^{2016}\)
Tìm x, biết:
1)\(3\left(\sqrt{x}+2\right)+5=4\sqrt{4x}+1\)
2) \(\sqrt{1-3x}< 2\)
Giải phương trình: \(\sqrt{\left(3x-3\right)\left(x+3\right)}+\sqrt{5\left(x-2\right)\left(x+4\right)+54}=5-\left(x+1\right)^2\)
Rút gọn
a) \(3\sqrt{3x-4}+2\left|4-3x\right|-2=0\)
b)\(\sqrt{x^2+2x+1}+\sqrt{x^2-4x+4}=3\)
c)\(\sqrt{4x^2+4x\sqrt{7}+7}-\sqrt{8-2\sqrt{7}}=0\)