\(\sqrt{x^2-8x+16}=2x+2\\\Leftrightarrow\sqrt{\left(x-4\right)^2}=2x-2\\ \Leftrightarrow x-4=2x-2\\ \Leftrightarrow x=-2\)
\(\sqrt{x^2-8x+16}=2x+2\\\Leftrightarrow\sqrt{\left(x-4\right)^2}=2x-2\\ \Leftrightarrow x-4=2x-2\\ \Leftrightarrow x=-2\)
\(\sqrt{x^2-5x-6}=x-2\)
\(\sqrt{x^2-8x+16}=4-x\)
\(\sqrt{x^2-2x}=2-x\)
\(\sqrt{2x+27}-6=x\)
a) \(\sqrt{2x-5}=2\)
b) \(\sqrt{x^2-6x+9}=7\)
c) \(\sqrt{x^2-8x+16}=4-x\)
giải pt\(\sqrt{16-8x+x^2}=4-x\)
\(\sqrt{4x^2-12x+9}=2x-3\)
C = \(\sqrt{9x^2}-2x\left(x< 0\right)\)
D = x-4+\(\sqrt{16-8x+x^2}\)(x>4)
1) giải pt:
a) \(\sqrt{3x+10}=4\)
b) \(\sqrt{9x^2-6x+1}=\sqrt{x^2+8x+16}\)
c) \(\sqrt{2x+1}=3\)
d) \(\sqrt{2x+1}+1=x\)
giúp mk vs ah
\(x^3+10-2\sqrt{2x+1}=2\left(8x+\sqrt{16-3x}\right)\)
Giải các phương trình sau:
1/ \(2x^2-8x+\sqrt{x^2-4x+16}=4\)
2/\(3\left(x^2+2\right)=10\sqrt{x^3+1}\)
3/\(\sqrt{3\left(1-x\right)}-\sqrt{3+x}=2\)
giải phương trình sau:
a) \(4x^2+\left(8x-4\right).\sqrt{x}-1=3x+2\sqrt{2x^2+5x-3}\)
b) \(8x^3-36x^2+\left(1-3x\right)\sqrt{3x-2}-3\sqrt{3x-2}+63x-32=0\)
c) \(2\sqrt[3]{3x-2}-3\sqrt{6-5x}+16=0\)
d) \(\sqrt[3]{x+6}-2\sqrt{x-1}=4-x^2\)
Giải phương trình :\(x^2+8x+16-2\left(x+1\right).\sqrt{2x+5}-2\sqrt{3x^2+24x+21}=0\)
Tìm giá trị nhỏ nhất:
\(A=\sqrt{x^2+1}+\sqrt{x^2-2x+5}\)
\(B=\sqrt{x^2-8x+17}+\sqrt{x^2+16}\)
\(C=\sqrt{-x^2+4x+12}-\sqrt{-x^2+2x+3}\)