\(x^2=15-\sqrt{197+6\sqrt{3}}+15+\sqrt{197+6\sqrt{3}}+2\cdot\sqrt{225-197-6\sqrt{3}}\)
\(=30+2\cdot\sqrt{28-6\sqrt{3}}\)
\(=30+2\left(3\sqrt{3}-1\right)=28+6\sqrt{3}\)
=>x=3 căn 3+1
\(P=2\left(3\sqrt{3}+1\right)^2-4\left(3\sqrt{3}+1\right)+47\)
\(=2\left(28+6\sqrt{3}\right)-12\sqrt{3}-4+47\)
\(=56-4+47=99\)
giải các phương trình sau:
\(\)1, \(\sqrt{10-x}+\sqrt{x+3}\)=5
2, \(\sqrt{15-x}+\sqrt{3-x}\)=6
3, \(\sqrt{4x+1}-\sqrt{3x+4}=1\)
4, \(\sqrt{x+\sqrt{2x-1}}\)+\(\sqrt{x-\sqrt{2x-1}}=\sqrt{2}\)
5, \(\sqrt{x^2-4x+4}+\sqrt{x^2-6x+9}=1\)
c) \(2+2\sqrt{3}-\sqrt{6+4\sqrt{2}}\)
d) \(\sqrt{4x^2-12x+9}-2x+1\) với x ≥ \(\dfrac{3}{2}\)
Giải giúp em với ạ :((
giải các pt
1, \(\sqrt{2x^2+8x+6}+\sqrt{x^2-1}=2x+2\)
2, \(\sqrt{x+2\sqrt{x-1}}-\sqrt{x-2\sqrt{x-1}}=2\)
3, \(\sqrt{x^2+x+4}+\sqrt{x^2+x+1}=\sqrt{2x^2+2x+9}\)
4, \(2x^2+\sqrt{x^2-4x+12}=4x+8\)
5, \(\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}}=1\)
1) \(\sqrt{x-1}=\sqrt{2x+3}\)
2) \(\sqrt{2x-3}=\sqrt{x-1}\)
3) \(\sqrt{2-x}=\sqrt{3+x}\)
4) \(\sqrt{4x-8}=2\sqrt{x-2}\)
5) \(\sqrt{x^2-5}\sqrt{4x-9}\)
6) \(\sqrt{x-2}=\sqrt{x^2-2x}\)
7) \(\sqrt{x^2-3x}=\sqrt{15-5x}\)
8) \(\sqrt{4x^2-9}=\sqrt{-20-18}\)
Có điều kiện cho từng câu hộ mình nhé!!!
9) \(\sqrt{x-2}=\sqrt{x-2}\)
Giải các phương trình:
1) \(\sqrt{2x+5}=\sqrt{1-x}\)
2) \(\sqrt{2x-1}=\sqrt{x-1}\)
3) \(\sqrt{2x^2-3}=\sqrt{4x-3}\)
4) \(\sqrt{x^2-x}=\sqrt{3-x}\)
5) \(\sqrt{x^2-x}=\sqrt{3x-5}\)
6) \(\sqrt{x^2-x-6}=\sqrt{x-3}\)
Giải phương trình
a)\(\sqrt{2x-3}=-\sqrt{3-2x}\)
b)\(x-4\sqrt{x-3}=-6\)
c)\(\sqrt{x-2}+\sqrt{6-x}=x^2-4x+8\)
1, \(\sqrt{2x^2-3}=\sqrt{4x-3}\)
2, \(\sqrt{2x-1}=\sqrt{x-1}\)
3, \(\sqrt{x^2-x-6}=\sqrt{x-3}\)
4, \(\sqrt{x^2-x}=\sqrt{3x-5}\)
5, \(\sqrt{x^2+x}=x\)
6, \(\sqrt{1-x^2}x-1\)
7, \(\sqrt{x^2-4x+3}=x-2\)
8, \(\sqrt{x^2-1}-x^2+1=0\)
9, \(\sqrt{x^2-4}-x+2=0\)
10, \(\sqrt{1-2x^2}=x-1\)
Ai biết lm chỉ e vs ạ. e cảm ơn nhìu ạ.
1. Rút gọn \(A=\sqrt{x+\sqrt{2x-1}}-\sqrt{x-\sqrt{2x-1}}\)
2. Tính \(B=\frac{\sqrt{\sqrt{5}+2}+\sqrt{\sqrt{5}-2}}{\sqrt{\sqrt{5}+1}}-\sqrt{3-2\sqrt{2}}\)
3.Tính \(C=\frac{\sqrt{3-\sqrt{5}}\cdot\left(\sqrt{10}-\sqrt{2}\right)\cdot\left(3+\sqrt{5}\right)}{\left(4+\sqrt{15}\right)\cdot\left(\sqrt{10}-\sqrt{6}\right)\sqrt{4-\sqrt{15}}}\)
Giải phương trình:
a) \(\sqrt{4x^2-4x+1}=2x+1\)
b) \(\sqrt{x+3}+4\sqrt{x}-2x=6-\sqrt{5-x}\)
