Question

Answer 1

a: \(\Leftrightarrow\sqrt{x-3}=\sqrt{27}-\sqrt{12}=3\sqrt{3}-2\sqrt{3}=\sqrt{3}\)

=>x-3=3

=>x=6

b: \(\Leftrightarrow5\sqrt{x-1}=16\)

=>căn x-1=16/5

=>x-1=256/25

=>x=281/25

c: \(\Leftrightarrow\left|3x-1\right|=5\)

=>3x-1=5 hoặc 3x-1=-5

=>x=-4/3 hoặc x=2

d: \(\Leftrightarrow6-\left|x-2\right|=4\)

=>|x-2|=6-4=2

=>x-2=2 hoặc x-2=-2

=>x=0 hoặc x=4

e: \(\Leftrightarrow\left|x-3\right|=7+2=9\)

=>x-3=9 hoặc x-3=-9

=>x=12; x=-6

f: \(\Leftrightarrow\sqrt{16x^2+4x}=10\)

=>16x^2+4x=100

=>4x^2+x=25

=>4x^2+x-25=0

=>\(x=\dfrac{-1\pm\sqrt{401}}{8}\)