\(\sqrt{2x-3}+\sqrt{5-2x}=3x^2-12x+14\)
\(\sqrt{x-4}+\sqrt{6+x}=x^2-10x+27\left(4_{ }< x< 6\right)\)
Giai phuong trinh
1/ \(\sqrt{x^2+4x+5}+\sqrt{x^2-6x+13}=3\)
2/ \(\sqrt{3x^2-18x+28}+\sqrt{4x^2-24x+45}=6x-x^2-5\)
3/ \(\sqrt{2x^2-4x+27}+\sqrt{3x^2-6x+12}=4x^2+8x+4\)
4/ \(\sqrt{x^2+x+7}+\sqrt{x^2+x+2}=\sqrt{3x^2+3x+19}\)
5/ \(\left(x+2\right)\left(x+3\right)-\sqrt{x^2+5x+1}=9\)
6/ \(\left(x+4\right)\left(x+1\right)-3\sqrt{x^2+5x+2}=6\)
7/ \(\sqrt{2x^2+3x+5}+\sqrt{2x^2-3x+5}=3\sqrt{x}\)
Giải phương trình:
$a) \sqrt{x - 7} + \sqrt{9 - x} = x^{2} - 16x + 66$
$b) \sqrt{3x^{2} + 6x + 7} + \sqrt{5x^{2} + 10x + 14} = 4 - 2x - x^{2}$
$c) \sqrt{x - 2} + \sqrt{10 - x} = x^{2} - 12x + 40$
Giai các phương trình sau:
a) \(\sqrt{x-2}+\sqrt{10-x}=x^2-12x+40\)
b) \(\sqrt{x^2+x-1}+\sqrt{x-x^2+1}=x^2-x+2\)
c) \(\sqrt{2x-3}+\sqrt{5-2x}=3x^2-12x+14\)
d) \(x^2-2x+3=\sqrt{2x^2-x}+\sqrt{1+3x-3x^2}\)
Giải phương trình:
$a) \sqrt{x - 7} + \sqrt{9 - x} = x^{2} - 16x + 66$
$b) \sqrt{3x^{2} + 6x + 7} + \sqrt{5x^{2} + 10x + 14} = 4 - 2x - x^{2}$
$c) \sqrt{x - 2} + \sqrt{10 - x} = x^{2} - 12x + 40$
giải phương trình: \(2x^3-4\sqrt{2}x^2+12x-8\sqrt{2}=0\)
Bài 1: Tìm x
a, \(\sqrt{4x+1}\) = 4
b, \(\sqrt{3-x}\) = 2
c, \(\sqrt{x+1}\) + \(\frac{1}{2}\sqrt{4x+4}\) = 6 - \(\frac{1}{3}\sqrt{9x+9}\)
d, \(\sqrt{4x^2-12x+9}\) - x = 5
e, \(\sqrt{16x^2+8x+1}\) = 10
Bài 2: Tìm x,y,z
x + y + z = 2\(\sqrt{x}\)+ 2\(\sqrt{y-3}\) + 2\(\sqrt{z}\)
Bài 3: Cho x < y < 0
Rút gọn \(\sqrt{x^2}+\sqrt{y^2}-\sqrt{x^2-2xy+y^2}\)
Bài 4: Tìm GTNN
a, x - 2\(\sqrt{x}\) + 3
b, \(\sqrt{x-4\sqrt{y}+13}\)
c, \(\sqrt{2x-4\sqrt{y}+6}\)
d, \(-\frac{4}{x^2+2x+5}\)
Bài 5: Cho A = \(\frac{3\sqrt{x}+11}{\sqrt{x}+2}\)
Tìm x ϵ Z để A nguyên
Gpt : a) \(\sqrt{x-1}+\sqrt{x+3}+2\sqrt{\left(x-1\right)\left(x^2-3x+5\right)}=4-2x\)
b) \(\sqrt[4]{1-x}+\sqrt[4]{2-x}=\sqrt[4]{3-2x}\)
c) \(\sqrt{x+1}+\sqrt{x+10}=\sqrt{x+2}+\sqrt{x+5}\)
giải các phương trình sau ( mik đang cần gấp xin cảm ơn)
1)\(\sqrt{2x-7}\)-\(\sqrt{x-4}\)=1
2) \(\sqrt{2x-3}\)+\(\sqrt{5-2x}\)=\(3x^2\)-12x+14
3) \(x^2\)-x+6=4\(\sqrt{3x-2}\)
4)\(\frac{\sqrt{x^2}+2x-3}{\sqrt{x-1}}\)=x+3
5) \(\sqrt{x-4\sqrt{x-1}+3}\)+\(\sqrt{x-6\sqrt{x-1}+8}\)=1
6)\(\sqrt{x-2\sqrt{x-1}}\)-\(\sqrt{x-1}\)=1