Asked by Caroline
x-3x^(1/2)+2=0
Answers
Answered by
Reiny
x+2 = 3x^(1/2)
square both sides
x^2 + 4x + 4 = 9x
x^2 - 5x + 4 = 0
(x-1)(x-4) = 0
x = 1 or x = 4
but , since we squared, all answers must be verified
if x=1
LS = 1 - 3(1) + 2 = 0 = RS
if x=4
LS = 4 - 3(2) + 2 = 0 = RS
x = 1 or x = 4
square both sides
x^2 + 4x + 4 = 9x
x^2 - 5x + 4 = 0
(x-1)(x-4) = 0
x = 1 or x = 4
but , since we squared, all answers must be verified
if x=1
LS = 1 - 3(1) + 2 = 0 = RS
if x=4
LS = 4 - 3(2) + 2 = 0 = RS
x = 1 or x = 4
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