PT <=> \(\left(x-5\right)-2\sqrt{x-5}=0\) (ĐKXĐ: \(x\ge5\)
<=> \(\left(\sqrt{x-5}-1\right)^2=1\)
<=> \(\left[{}\begin{matrix}\sqrt{x-5}-1=1< =>x=9\left(chọn\right)\\\sqrt{x-5}-1=-1< =>x=5\left(chọn\right)\end{matrix}\right.\)
KL: \(x\in\left\{9;5\right\}\)
\(\sqrt{4x-20}\)+\(\sqrt{x-5}\)-\(\dfrac{1}{3}\)\(\sqrt{9x-45}\)
\(A=\sqrt{4x+20}-2\sqrt{x+5}+\sqrt{9x+45}\)
a) Rút gọn A
b) Tìm x để A=6
giúp mk tìm x 2 câu này vs
\(\sqrt{4x-20}-3\sqrt{\dfrac{x-5}{9}}=\sqrt{1-x}\)
\(\sqrt{50x-25}+\sqrt{8x-4}-3\sqrt{x}=\sqrt{72x-36}-\sqrt{4x}\)
Giải phương trình:
*\(\sqrt{x^2-4x+5}+\sqrt{x^2-4x+8}+\sqrt{x^2-4x+9}=3+\sqrt{5}\)
*\(\sqrt{x+3-4\sqrt{x-1}+\sqrt{x+8+6\sqrt{x-1}=5}}\)
Tìm x: \(a.\sqrt{4-5x}=12\)
\(b.\sqrt{10+\sqrt{3x}}=2+\sqrt{6}\)
c. \(\sqrt{4x+20}-3\sqrt{5+x}+\frac{4}{3}\sqrt{9x+45}=6\)
d. \(\sqrt{x^2-9}-3\sqrt{x-3}=0\)
e. \(\sqrt{\frac{4x+3}{x+1}}=3\)
f. \(\sqrt{x-2}\le3\)
1) \(\sqrt{x-1}=\sqrt{2x+3}\)
2) \(\sqrt{2x-3}=\sqrt{x-1}\)
3) \(\sqrt{2-x}=\sqrt{3+x}\)
4) \(\sqrt{4x-8}=2\sqrt{x-2}\)
5) \(\sqrt{x^2-5}\sqrt{4x-9}\)
6) \(\sqrt{x-2}=\sqrt{x^2-2x}\)
7) \(\sqrt{x^2-3x}=\sqrt{15-5x}\)
8) \(\sqrt{4x^2-9}=\sqrt{-20-18}\)
Có điều kiện cho từng câu hộ mình nhé!!!
9) \(\sqrt{x-2}=\sqrt{x-2}\)
Giải PT:
a) \(\dfrac{9x-7}{\sqrt{7x+5}}=\sqrt{7x+5}.\)
b) \(\sqrt{4x-20}+3\sqrt{\dfrac{x-5}{9}}-\dfrac{1}{3}\sqrt{9x-45}=4.\)
c) \(2x-x^2+\sqrt{6x^2-12x+7}=0.\)
d) \(\left(x+1\right)\left(x+4\right)-3\sqrt{x^2+5x+2}=6.\)
Giả phương trình:
a/ \(\sqrt{x^2-4x+5}+\sqrt{x^2-4x+8}+\sqrt{x^2-4x+9}=3+\sqrt{5}\)
b/ \(\sqrt{2-x^2+2x}+\sqrt{-x^2-6x-8}=1+\sqrt{3}\)
giải các phương trình
a)\(\sqrt{4x^2-4x+1}-\dfrac{1}{2}=\dfrac{1}{3}\)
b)\(\sqrt{x-3}\times\left(x^2-6x+8\right)=0\)
c)\(x+\sqrt{x-1}=13\)
lm nhanh giúp mk nhé
