Question

Bài 1 : giải phương trình 

a,\(\sqrt{x^2-x+9}=x+2\)

b,\(\sqrt{x+13}=x+1\)

c,\(\sqrt{2x+1}+\sqrt{x-3}=4\)

d,\(\sqrt{x-2}+\sqrt{4-x}=x^2-6x+11\)

e,\(x^2-5x+30=4\sqrt{x}-6\sqrt{2x+1}\)

Answer 1

a: \(\Leftrightarrow\left\{{}\begin{matrix}x>=-2\\x^2+4x+4-x^2+x-9=0\end{matrix}\right.\Leftrightarrow x=1\)

b: \(\Leftrightarrow\left\{{}\begin{matrix}x>=-1\\x^2+2x+1=x+13\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x>=-1\\x^2+x-12=0\end{matrix}\right.\)

=>x=3