tim x biet \(3\sqrt{x^3+8}=2x^2-6x+4\)
tim x biet (3-căn 2x)*(2-3 căn 2x)=6x-5
tim x biet (2-x)(4-x)-5=0
tim x,y biet : x^2+y^2-2xy-4=0
Giải Phương Trình
a)\(\sqrt{x^2-6x+1}+\sqrt{x^2-6x+13}+\sqrt[4]{x^2-4x+5}=3+\sqrt{2}\)
b)\(\frac{x^2-6x+15}{x^2-6x+11}=\sqrt{x^2-6x+18}\)
Giải PT:
\(\sqrt{x-2}+\sqrt{4-x}=x^2-6x+11\)
tim x biet
\(\sqrt[n]{\left(x-2\right)^2}+4\sqrt[n]{x^2-4}=5\sqrt[n]{\left(x+2\right)^2}\)
giải phương trình \(\sqrt{x-2}+\sqrt{4-x}=x^2-6x+11\)
thay \(x=2y\)vào ta có:
\(\sqrt{x-2}+\sqrt{4-x}=x^2-6x+11\)
Ta có \(VP=x^2-6x+11=\left(x-3\right)^2+2\ge2\)
\(VT=\sqrt{x-2}+\sqrt{4-x}\le\frac{x-2+1}{2}+\frac{4-x+1}{2}=2\)
xong