a: \(\Leftrightarrow6\sqrt{2x}-4\sqrt{2x}+5\sqrt{2x}=21\)
\(\Leftrightarrow7\sqrt{2x}=21\)
=>2x=9
hay x=9/2
b: \(\Leftrightarrow5\sqrt{x+2}+6\sqrt{x+2}-2\cdot4\cdot\sqrt{x+2}=15\)
\(\Leftrightarrow3\sqrt{x+2}=15\)
=>x+2=25
hay x=23
c: \(\Leftrightarrow\left|x-3\right|=8\)
=>x-3=8 hoặc x-3=-8
=>x=11 hoặc x=-5
giải phương trình
a)\(\sqrt{x-1}+\sqrt{4x-4}-\sqrt{25x-25}+2=0\)
b)\(\sqrt{16x+16}-\sqrt{9x+9}+\sqrt{4x+4}+\sqrt{x+1}=16\)
c)\(\sqrt{4x+20}+\sqrt{x+5}-\dfrac{1}{3}\sqrt{9x+45}=4\)
d)\(\dfrac{1}{3}\sqrt{2x}-\sqrt{8x}+\sqrt{18x}-10=2\)
Giải phương trình sau
a) \(\sqrt{1-8x+16x^2}=\dfrac{1}{3}\)
b) \(\sqrt{16x-32}+\sqrt{25x-50}=18+\sqrt{9x-18}\)
Câu 2: Tìm x biết
a. \(\sqrt{\left(2x-3\right)^2}=7\)
b. \(\sqrt{64x+128}-\sqrt{25x+50}+\sqrt{4x+8}=20\)
c. \(\sqrt{x^2-9}-3\sqrt{x-3}=0\)
2.tìm x
a)\(\sqrt{x^2-6x+9}\)
b)\(\sqrt{x^2-2x+1}\)
c)\(\sqrt{4x+12}-3\sqrt{x+3}+7\sqrt{9x+27}=20\)
d)\(\sqrt{4x+20}+3\sqrt{\dfrac{x-5}{9}}-\dfrac{1}{3}\sqrt{9x-45}=6\)
giải phương trình
1)\(\sqrt{9\left(x-1\right)}=21\)
2)\(\sqrt{1-x}+\sqrt{4-4x}-\dfrac{1}{3}\sqrt{16-16x}+5=0\)
3)\(\sqrt{2x}-\sqrt{50}=0\)
4)\(\sqrt{4x^2+4x+1}=6\)
5)\(\sqrt{\left(x-3\right)^2}=3-x\)
Tìm x khi
a) \(\sqrt{50x-25}+\sqrt{8x-4}-3\sqrt{x}=\sqrt{72x-36}-\sqrt{4x}\)
b) \(\sqrt{4x-20}-3\sqrt{\frac{x-5}{9}}=\sqrt{1-x}\)
c) \(\sqrt{x^2-9}-\sqrt{4x-12}=0\)
Giải phương trình:
a)\(\sqrt{\sqrt{5}-\sqrt{3x}}=\sqrt{8+2\sqrt{15}}\)
b)\(\sqrt{4x-20}-3\sqrt{\dfrac{x-5}{9}}=\sqrt{1-x}\)
c) \(\sqrt{4x+8}+2\sqrt{x+2}-\sqrt{9x+18}=1\)
d) \(\sqrt{x^2-6x+9}+x=11\)
e) \(\sqrt{3x^2-4x+3}=1-2x\)
f) \(\sqrt{16\left(x+1\right)}-\sqrt{9\left(x+1\right)}=4\)
g) \(\sqrt{9x+9}+\sqrt{4x+4}=\sqrt{x+1}\)
Câu 2: Tìm x biết:
a. \(\sqrt{\left(2x-3\right)^2}=7\)
b. \(\sqrt{64x-121}-\sqrt{25x-50}-\sqrt{4x-1}=20\)
c. \(\sqrt{x^2-9}-3\sqrt{x-3}=0\)
a \(\sqrt{4x-20}+\sqrt{x-5}-\dfrac{1}{3}\sqrt{9x-45}=4\)
b \(\sqrt{x-1}+\sqrt{4x-4}-\sqrt{25x-25}=4\)
c \(\dfrac{1}{3}\sqrt{x-2}-\dfrac{2}{3}\sqrt{9x-18}+6\sqrt{\dfrac{x-2}{81}=-4}\)
d \(\sqrt{9x+27}+4\sqrt{x+3}-\dfrac{3}{4}\sqrt{16x+48}=0\)
\(\sqrt{16x-32}+\sqrt{25x-50}=187\sqrt{9x-18}\)
\(\frac{\sqrt{15}+\sqrt{3}}{\sqrt{5}+1}+\frac{4}{1-\sqrt{3}}\)
