Question

корень (4х+1) - корень (3х+1)=1

Answer 1

$sqrt{4x+1} - sqrt{3x+1}=1$
$sqrt{4x+1} - 1=sqrt{3x+1}$
$4x+1 -2sqrt{4x+1} + 1=3x+1$
$x+1 =2sqrt{4x+1}$
$x^2+2x+1 =16x+4$
x^2-14x-3=0
D=196+12=208=16*13
x1=-1+2sqrt{13}
x2=-1-2sqrt{13}