Tìm GTNN:
\(A=\sqrt{\left(x-2\right)\cdot\left(x-1\right)\cdot x\cdot\left(x+1\right)+5}\)
\(B=\sqrt{x^2-4x+4}+\sqrt{x^2+6x+9}\)
Những câu hỏi liên quan
giải phuong trình \(\left(3+x\right)\cdot\sqrt{\left(3+x\right)\cdot\left(9+x^2\right)}=4\cdot\sqrt{5\cdot\left(3-x\right)}\)
Cho mk hỏi con này ra bao nhiu z: \(A=\frac{\left(\sqrt{x}+2\right)\cdot\left(x-1\right)-\left(\sqrt{x}-2\right)\cdot\left(x+1\right)\cdot\left(x+1\right)}{\left(x+1\right)^2\cdot\left(x-1\right)}\)
Giải phương trình:
a)\(\left(x+2\right)\cdot\left(x+4\right)+5\cdot\left(x+2\right)\cdot\sqrt{\frac{x+4}{x+2}}=6\)
b)\(\sqrt{2x+4+6\sqrt{2x-5}}+\sqrt{2x-4-2\sqrt{2x-5}}=4\)
giải hệ phương trình :
a) \(\hept{\begin{cases}x\cdot\left(1+y-x\right)=-2\cdot y^2-y\\x\cdot\left(\sqrt{2\cdot y}-2\right)=y\cdot\left(\sqrt{x-1}-2\right)\end{cases}}\)
b) \(\hept{\begin{cases}1+x\cdot y+\sqrt{x\cdot y}=x\\\frac{1}{x\cdot\sqrt{x}}+y\cdot\sqrt{y}=\frac{1}{\sqrt{x}}+3\cdot\sqrt{y}\end{cases}}\)
Làm hộ mk nhé mk tick cho :))))))))))
giải phương trình
\(\left(3-x\right)\cdot\sqrt{\left(3+x\right)\cdot\left(9+x^2\right)}=4\sqrt{5\cdot\left(3-x\right)}\)
Giải các phương trình sau
a) -x^2+4cdot x+12cdotsqrt{2cdot x+1}
b) x+sqrt{x+dfrac{1}{2}+sqrt{x+dfrac{1}{4}}}2
c) 5cdot x^2-2cdot x+1left(4cdot x-1right)cdotsqrt{x^2+1}
d) left(2cdot x-1right)cdotsqrt{10-4cdot x^2}5-2cdot x
e) sqrt{2cdot x-1}-sqrt{x+1}2cdot x-4
f) sqrt{x^2-2cdot x}+sqrt{2cdot x^2+4cdot x}2cdot x
Đọc tiếp
Giải các phương trình sau
a) \(-x^2+4\cdot x+1=2\cdot\sqrt{2\cdot x+1}\)
b) \(x+\sqrt{x+\dfrac{1}{2}+\sqrt{x+\dfrac{1}{4}}}=2\)
c) \(5\cdot x^2-2\cdot x+1=\left(4\cdot x-1\right)\cdot\sqrt{x^2+1}\)
d) \(\left(2\cdot x-1\right)\cdot\sqrt{10-4\cdot x^2}=5-2\cdot x\)
e) \(\sqrt{2\cdot x-1}-\sqrt{x+1}=2\cdot x-4\)
f) \(\sqrt{x^2-2\cdot x}+\sqrt{2\cdot x^2+4\cdot x}=2\cdot x\)
câu b đk x>= -1/4
\(x+\sqrt{x+\dfrac{1}{2}+\sqrt{x+\dfrac{1}{4}}}=2\)
\(x+\sqrt{\left(\sqrt{x+\dfrac{1}{4}}+\dfrac{1}{2}\right)^2}=2\)
\(\left(\sqrt{x+\dfrac{1}{4}}+\dfrac{1}{2}\right)^2=2\)
\(x+\dfrac{1}{4}=\left(\sqrt{2}-\dfrac{1}{2}\right)^2\)
\(x=\left(\sqrt{2}-\dfrac{1}{2}\right)^2-\dfrac{1}{4}\)
\(x=\left(\sqrt{2}-\dfrac{1}{2}-\dfrac{1}{2}\right)\left(\sqrt{2}-\dfrac{1}{2}+\dfrac{1}{2}\right)\)
\(x=\sqrt{2}\left(\sqrt{2}-1\right)=2-\sqrt{2}\)
Đúng 0
Bình luận (3)
Giải phương trình:
a)\(3\cdot\left(x^2-x+1\right)=8\cdot\left(x^3+x\right)\)
b) \(x^2+2x\cdot\sqrt{x-\frac{1}{x}}=3x+1\)
c) \(x^2+\sqrt[4]{x^4-x^2}=2x+1\)
d) \(\sqrt{x-1}+\sqrt{3-x}+4x\cdot\sqrt{2x}=x^3+10\)
e) \(\sqrt{2-x^2}+\sqrt{2-\frac{1}{x^2}}=4-\left(x+\frac{1}{x}\right)\)
\(\left(3-x\right)\cdot\sqrt{\left(3+x\right)\cdot\left(9+x^2\right)}=4\sqrt{5\left(3-x\right)}\)
\(\left(x-1\right)\cdot\left(2x-2\sqrt{x^2-9}\right)+y\cdot\left(3y-2\sqrt{2y^2-4}\right)=12\)12