do you mean
√(x+4) - 2√(x-1) = -1 ?
please confirm
square root of x+4-2square x-1=-1
could help me please.
3 answers
Yes you are right it do not have a parentesis it has square root.
Ok, move it around a bit
√(x+4) + 1 = 2√(x-1)
square both sides
x+4 +2√(x+4) + 1 = 4(x-1)
2√(x+4) = 3x - 9
square again
4(x+4) = 9x^2 - 54x + 81
9x^2 - 58x + 65 = 0
(x-5)(9x - 13) = 0
x = 5 or x = 13/9
since we squared, both answers must be checked
if x=5
LS = √9 - 2√4 = -1 = RS
if x = 13
LS = √(49/9) - 2√(4/9)
= 7/3 - 4/3 = +1 ≠ RS
so x = 5
√(x+4) + 1 = 2√(x-1)
square both sides
x+4 +2√(x+4) + 1 = 4(x-1)
2√(x+4) = 3x - 9
square again
4(x+4) = 9x^2 - 54x + 81
9x^2 - 58x + 65 = 0
(x-5)(9x - 13) = 0
x = 5 or x = 13/9
since we squared, both answers must be checked
if x=5
LS = √9 - 2√4 = -1 = RS
if x = 13
LS = √(49/9) - 2√(4/9)
= 7/3 - 4/3 = +1 ≠ RS
so x = 5