Ta có: \(x^2-2\sqrt{11}x+11=0\)
\(\Leftrightarrow x-\sqrt{11}=0\)
hay \(x=\sqrt{11}\)
Ta có: \(x^2-2\sqrt{11}x+11=0\)
\(\Leftrightarrow x-\sqrt{11}=0\)
hay \(x=\sqrt{11}\)
giai phuong trinh
√(3x+1)-√(6-x)+x^3-2x^2-(29/2)x-(11/2)=0
đưa thừa số vào trong dấu căn
a)x√13 (x>0)
b)x√2 (x<0)
c)x√-11/x (x<0)
Giải PT :
a) \(x^2-11=0\)
\(b,x^2-2\sqrt{13}x+13=0\)
c, \(\sqrt{x^2-10x+25}=7-2x\)
gpt \(x^{11}+3x^{10}+x^9+3x^8+x^7-3x^6-17x^5+3x^4+x^3+3x^2+x+3=0\)
Cho x, y thỏa mãn : \(\sqrt{x^2+11}+\sqrt{x-2018}+x^2=\sqrt{y^2+11}+\sqrt{y-2018}+y^2\)
Tính \(M=x^{11}-y^{2018}\)
Giair phương trình;
a;\(\sqrt{x-1+4\sqrt{x-5}}\)+\(\sqrt{11+x+8\sqrt{x-5}}\)=8
b;x-4\(\sqrt{x-2}\)+1=0
c;x+\(\sqrt{x+\frac{1}{2}+\sqrt{x+\frac{1}{4}}}\)=2
Giải các phương trình
\(\dfrac{\left(5-x\right)\sqrt{5-x}+\left(3-x\right)\sqrt{3-x}}{\sqrt{5-x}+\sqrt{3-x}}=2\)
\(\sqrt{x-5}-\dfrac{x-14}{3+\sqrt{x-5}}=3\)
Giải phương trình:
a) \(\sqrt{x^2-6x+9}+x=11\)
b) \(\sqrt{3x^2-4x+3}=1-2x\)
c) \(\sqrt{x-3}-2\sqrt{x^2-9}=0\)
d) \(\sqrt{4x^2-4x+1}=\sqrt{x^2-6x+9}\)
e) \(\sqrt{x+4\sqrt{x-4}}=2\)
Bài 1: Giải PT
a) \(\sqrt{x^2-1}-x^2+1=0\)
b) \(\sqrt{x^2-4}-x+2=0\)
c) \(\sqrt{x^4-8x^2+16}=2-x\)
d) \(\sqrt{9x^2+6x+1}\sqrt{11-6\sqrt{2}}\)
e) \(\sqrt{4^2-9}=2\sqrt{2x+3}\)
f) \(\sqrt{4x-20}+3\sqrt{\dfrac{x-5}{9}}-\dfrac{1}{3}\sqrt{9x-45}=4\)