1) \(\sqrt{x^2}=2x-5\)
2) \(\sqrt{25x^2-10x+1}=2x-6\)
3) \(\sqrt{25-10x+x^2}=2x-5\)
4) \(\sqrt{1-2x+x^2}=2x-1\)
5) \(\sqrt{4x^2+4x+1}=-x-3\)
GIẢI PHƯƠNG TRÌNH:
a)\(\sqrt{3x^2+6x+7}+\sqrt{5x^2+10x+14}=4-2x-x^2\)
b)\(\sqrt{x^2-4x+5}+\sqrt{x^2-4x+8}+\sqrt{x^2-4x+9}=3+\sqrt{5}\)
c)\(\sqrt{2-x^2+2x}+\sqrt{-x^2-6x-8}=1+\sqrt{3}\)
d)\(\sqrt{9x^2-6x+2}+\sqrt{45x^2-30x+9}=\sqrt{6x-9x^2+8}\)
a) x+\(\sqrt{\left(x-2\right)^2}\)
b) \(\sqrt{\left(x-3\right)^2}\) -x
c) x-\(\sqrt{\left(x-1\right)^2}\)
d) \(\sqrt{m^2-6m+9}\) -2m
e) m-\(\sqrt{m^2-2m+1}\)
f) 2x-\(\sqrt{4x^2+4x+1}\)
g)\(\sqrt{x^2-10x+25}\) -x
h) \(\dfrac{\sqrt{x^2+10x+25}}{x^2-25}\)
i) \(\dfrac{\sqrt{1-2m+m^2}}{m^2-1}\)
tìm min
a)\(\sqrt{x^2-2x+1}+\sqrt{x^2-4x+4}+\sqrt{x^2-6x+9}\)
b)B=\(\sqrt{x-2\sqrt{x-1}}-\sqrt{x+2\sqrt{x-1}}\)
Tìm GTNN của biểu thức
a)\(\sqrt{x^2-6x+9}+\sqrt{x^2+10x+25}\)
b)\(\sqrt{x^2+4x+4}+\sqrt{x^2-2x+1}+\sqrt{x^2-14x+49}\)
Bài 1: Tìm x để biểu thức có nghĩa
a) \(\dfrac{-5}{\sqrt{10x+2}}\) d)\(\sqrt{\dfrac{3-12x}{-4}}\)
b) \(\sqrt{\dfrac{-5}{10x+2}}\) e)\(\sqrt{x^2+1}\)
c)\(\sqrt{\dfrac{8-4x}{10}}\) f) \(^{\dfrac{10}{\sqrt{2020-2021}}}\)
g) \(\sqrt{\dfrac{2x-8}{x^2+1}}\)
Giúp mk vs, sắp pk nộp r :<<
Thanks ạ
tìm gtnn
a)\(\sqrt{x^2}+\sqrt{x^2+2x+1}\)
b)\(\sqrt{x^2}+\sqrt{x^2+4x+4}+\sqrt{x^2+10x+25}\)
c) \(\sqrt{x^2}+\sqrt{\left(x+2\right)^2}+...+\sqrt{\left(x+2017\right)^2}\)
Tìm Max của
1) \(5+\sqrt{-4x^2-4x}\)
2) \(\sqrt{x-2}+\sqrt{4-x}\)
3) \(x+\sqrt{2-x^2}\)
4) \(2x+\sqrt{4-2x^2}\)
Tìm Min của
1) \(\sqrt{x^2-2x+1}+\sqrt{x^2-4x+4}+\sqrt{x^2-6x+9}\)
2) \(\sqrt{x\left(x+1\right)\left(x+2\right)\left(x+3\right)+5}\)
Giải phương trình:
a) \(\left(\sqrt{x^2+x+1}+\sqrt{4x^2+x+1}\right)\left(\sqrt{5x^2+1}-\sqrt{2x^2+1}\right)=3x^2\)
b) \(\sqrt{8x+1}+\sqrt{46-10x}=-x^3+5x^2+4x+1\)