\(\Leftrightarrow2\sqrt{2x}-6\sqrt{2x}-\sqrt{2x}=-10\)
\(\Leftrightarrow5\sqrt{2x}=10\)
=>2x=4
hay x=2
\(\Leftrightarrow2\sqrt{2x}-6\sqrt{2x}-\sqrt{2x}=-10\)
\(\Leftrightarrow5\sqrt{2x}=10\)
=>2x=4
hay x=2
Rút gọn biểu thức sau với x \(\ge\) 0
a) \(3\sqrt{2x}-4\sqrt{2x}+8-2\sqrt{x}\)
b) \(3\sqrt{2x}-\sqrt{72x}+3\sqrt{18x}+18\)
Tìm ĐKXĐ:
a) \(\sqrt{72x}\)
b) \(\dfrac{2x+3}{\sqrt{x^2-4}}\)
c) \(\sqrt{\left(2x+1\right)\left(x+2\right)}\)
d) \(3-\sqrt{16x^2-1}\)
e) \(\sqrt{\dfrac{3+x}{4-x}}\)
\(\sqrt{8x^2-16x+10}+\sqrt{2x^2-4x+4}=\sqrt{7-x^2+2x}\)
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 bằng phương pháp đánh giá:
1) sqrt(x-2) + sqrt(10-x) = (x2-12x+40)(5x-x2-6)
2) [ sqrt(x+3) + sqrt(15-x) ](x+6)2 = x4 - 72x2 +1302
3) sqrt(2x-3) + sqrt(5-2x) = (3x^2-12x+14)(2x^2-x-3)
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
Tìm min: \(Q=\sqrt{2x^2+2x+1}+\sqrt{2x^2-8x+10}\)
giải phương trình
a) 1+\(\sqrt{x^2+7x+10}\)=\(\sqrt{x+5}\)+\(\sqrt{x+2}\)
b) \(\sqrt{4x^2-2x+\dfrac{1}{4}}\)=\(4x^3\)-\(x^2\)+8x-2
\(\sqrt{x^2+6x+10}+\sqrt[3]{2x^2+12x+27}+\sqrt[4]{x^4-8x^2+82}\)