Question

Answer 1

1: ĐKXĐ: x>=3

\(\sqrt{4\left(x-3\right)}+\sqrt{9x-27}=10\)

=>\(2\sqrt{x-3}+3\sqrt{x-3}=10\)

=>\(5\sqrt{x-3}=10\)

=>\(\sqrt{x-3}=10\)

=>\(x-3=10^2=100\)

=>x=100+3=103(nhận)

2: ĐKXĐ: x>=-1

\(\sqrt{16x+16}-\sqrt{9x+9}=1\)

=>\(4\sqrt{x+1}-3\sqrt{x+1}=1\)

=>\(\sqrt{x+1}=1\)

=>x+1=1

=>x=0(nhận)

3: ĐKXĐ: x>=2

\(\sqrt{4x-8}=6-\sqrt{x-2}\)

=>\(2\sqrt{x-2}=6-\sqrt{x-2}\)

=>\(3\sqrt{x-2}=6\)

=>\(\sqrt{x-2}=2\)

=>\(x-2=2^2=4\)

=>x=4+2=6(nhận)

4: ĐKXĐ: x>=3

\(\sqrt{4x-12}=10-\sqrt{9x-27}\)

=>\(2\sqrt{x-3}+3\sqrt{x-3}=10\)

=>\(5\sqrt{x-3}=10\)

=>\(\sqrt{x-3}=2\)

=>\(x-3=2^2=4\)

=>x=4+3=7(nhận)