6) \(\sqrt{x^2+12x+36}=-x-6\)
7) \(\sqrt{9x^2-12x+4}=3x-2\)
8) \(\sqrt{16-24x+9x^2}=2x-10\)
9) \(\sqrt{x^2-6x+9}==2x-3\)
10) \(\sqrt{x^2-3x+\dfrac{9}{4}}=\dfrac{3}{x}x-4\)
3) tìm x biết
a) \(\sqrt{x+9}=7\)
b) \(4\sqrt{2x+3}-\sqrt{8x+12}+\dfrac{1}{3}\sqrt{18x+27}=15\)
c) \(\sqrt{x^2-6x+9}=2x+1\)
d) \(\sqrt{x+3+4\sqrt{x-1}}-\sqrt{x+8+6\sqrt{x-1}}=9\)
lm nhanh giúp mk nhé mk đang cần gấp
\(P\left(x\right)=\sqrt[3]{\sqrt{x+8}\left(x^4+8x^3+12x\right)+6x^3+48x^2+8}\)
đặt \(A=\sqrt{x+8}\left(x^4+8x^3+12x\right)+6x^3+48x^2+8\)
\(=\sqrt{x+8}\left(x^4+8x^3\right)+6x^2\left(x+8\right)+12x\sqrt{x+8}+8\)
\(=\sqrt{\left(x+8\right)^3}x^3+3\sqrt{\left(x+8\right)^2}x^22+3\sqrt{\left(x+8\right)}x4+8\)
\(=\left(x\sqrt{x+8}+2\right)^3\)
\(\Rightarrow P\left(x\right)=x\sqrt{x+8}+2\)
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
giải phương trình
a) \(\sqrt{2x-2\sqrt{2x-1}}-2\sqrt{2x+3-4\sqrt{2x-1}}+3\sqrt{2x+8-\sqrt{2x-1}}=4\)
b) \(4x^2+3x+3=4x\sqrt{x+3}+2\sqrt{2x-1}\)
c) \(\sqrt{x-4}+\sqrt{6-x}=x^2-11x+27\)
d) \(\sqrt{13x^2-6x+10}+\sqrt{5x^2-13x+\frac{17}{2}}+\sqrt{17x^2-48x+36}=\frac{1}{2}\left(36x-8x^2-21\right)\)
e) \(\sqrt{\frac{6}{3-x}}+\sqrt{\frac{8}{2-x}}=6\)
Rút gọn: (Giải chi tiết từng bước)
9) \(2\sqrt{8\sqrt{3}-2\sqrt{5\sqrt{3}}}-3\sqrt{20\sqrt{3}}\)
10) \(\sqrt{12x}-\sqrt{48x}-3\sqrt{3x}+27\) với x \(\ge\) 0
11) \(\sqrt{18x}-5\sqrt{8x}+7\sqrt{18x}+28\) với \(x\ge0\)
12) \(\sqrt{45a}-\sqrt{20a}+4\sqrt{45a}+\sqrt{a}\) với \(a\ge0\)
Cần gấp ạ
Giải phương trình:
a) \(\sqrt{x+3-4\sqrt{x+1}}+\sqrt{x+8-6\sqrt{x-1}}=1\)
b) \(\sqrt{x+\sqrt{x-11}}+\sqrt{x-\sqrt{x-11}}=4\)
c) \(\sqrt{x+2+3\sqrt{2x-5}}+\sqrt{x-2\sqrt{2x-5}}=2\sqrt{2}\)
d) \(\sqrt{x-4}+\sqrt{6-x}=x^2-10x+27\)
e) \(\sqrt{2x+1}+\sqrt{17-2x}=x^4-8x^3+17x^2-8x+22\)
f) \(\sqrt{3x^2+12x+16}+\sqrt{y^2-4y+13}=5\)
g) \(\sqrt{x+x^2}+\sqrt{x-x^2}=x+1\)
ai lmmm giúp tui ikkk
giải pt\(\sqrt{16-8x+x^2}=4-x\)
\(\sqrt{4x^2-12x+9}=2x-3\)
1. \(x+\sqrt{2x-3}\)\(=1+\sqrt{x-1}+\sqrt{x^2-3x+3}\)
2. \(\frac{\sqrt{x}}{1+\sqrt{1-x}}=x^2-2x+2\)
3. \(\sqrt[6]{6x-5}=\frac{x^7}{8x^2-10x+3}\)
4. \(\sqrt{x-3}+\sqrt{11-x}+\)\(6y+3\sqrt{4-2y^2}-15=0\)
5. \(\sqrt{2x-3}+\sqrt{21-2x}=\)\(x^4-12x^3+37x^2-12x+42\)
6. \(4x^2+2=3\sqrt[3]{4x^3+x}\)
giải pt vô tỉ. Ai giúp với tks tks tks <3