\(\left(\sqrt{x^2-6x+25}\right)^2=16\\ x^2-6x+25-16=0\\ x^2-6x+9=0\\ \left(x-3\right)^2=0\\ x=3\)
=>x^2-6x+25=16
=>x^2-6x+9=0
=>x=3
-tìm x-
1, \(\sqrt{4-4x+x^2}=3\)
2, \(\sqrt{x^2-6x+9}=1\)
3, \(\sqrt{25-10x+x^2}=1\)
giải phương trình
a)\(\sqrt{x^2-6x+9}=4\)
b)\(\sqrt{4x^2-4x+1}=5x+3\)
c)\(\sqrt{x^2-9}+\sqrt{x^2-6x+9}=0\)
d)\(\sqrt{x^2+2x+1}+\sqrt{x^2-4x+4}=3\)
e)\(\sqrt{9x^2-12x+4}=\sqrt{x^2-10x+25}\)
Giải các phuong trình sau
a) \(\sqrt{1-6x+9x^2}\) =5
b) \(\sqrt{x^2-4x+4}\) =7
c) \(\sqrt{25-10x+x^2}\) = 7-2x
d)\(\sqrt{x^2+6x+9}\) = 3x-1
a) 2sqrt(25(x - 3)) - 1/2 * sqrt(4x - 12) + 1/7 * sqrt(49(x - 3)) = 20 b) sqrt(x ^ 2 - 6x + 9) = 2
2: Giải phương trình a) 2sqrt(25(x - 3)) - 1/2 * sqrt(4x - 12) + 1/7 * sqrt(49(x - 3)) = 20 b) sqrt(x ^ 2 - 6x + 9) = 2
Tìm GTNN:
A=\(\sqrt{25-10x+x^2}-\sqrt{x^2-6x+9}\)
B:\(\dfrac{1}{2x^2-x+3}\)
C: x2 - 2xy + 3y2 - 2x + 2017
D: x-\(\sqrt{x-2015}\)
E:\(\dfrac{2x+1}{x^2}\)
F: \(\dfrac{5x^2-4x+4}{x^2}\)
G=(x+1)(x+2)2(x+3)
H= X2-5x+y2+xy-4y+2014
I= x2 +xy +y2-3x-3y +2002
K=\(\sqrt{x^2-6x+2y^2+4y+11}+\sqrt{x^2+2x+3y^2+6y+4}\)
Giúp mình nhé!!
2. Rut gon bieu thuc:
a) \(A=\sqrt{x-2+2\sqrt{x-3}}+\sqrt{x+6+6\sqrt{x-3}},voix>=3\)
3. Tim GTNN cua bieu thuc:
a) \(A=\sqrt{4x^2-12x+9}+\sqrt{x^2-10x+25}+\sqrt{9x^2-6x+1}+\sqrt{16x^2-72x+81}\)
b) \(B=\dfrac{1}{2}\sqrt{x^2}+\sqrt{x^2-2x+1}\)
BT1: Rút gọn:
A=\(\dfrac{3x}{x-2}\sqrt{4-4x+4}vớix>2\)
B=\(\dfrac{-5y}{x+3}\sqrt{x^2+6x+9}vớix\ne-3\)
d) \(\sqrt{x^2-12x+36}-x=3\)
e) \(\sqrt{x^2-4x+5}-1=x\)
f) \(\sqrt{x^2-6x+9}+x=3\)
h) \(\sqrt{18x}+\sqrt{32x}-14=0\)
k) \(\sqrt{6x-3}+2=\sqrt{3}\)
4. Cho x=\(\sqrt{5}+1\)
Tính P=\(\dfrac{x^4+4x^3+x^2+6x+12}{x^2-2x+12}\)
