Asked by Rach
Solve. Check for extraneous solution.
6x= √20+6x
6x= √20+6x
Answers
Answered by
Bosnian
Are you kidding?
6 x = sqrt ( 20 ) + 6 x
6 x - 6 x = sqrt ( 20 )
0 = sqrt ( 20 ) ???????????
6 x = sqrt ( 20 ) + 6 x
6 x - 6 x = sqrt ( 20 )
0 = sqrt ( 20 ) ???????????
Answered by
Reiny
the way you typed it ....
0 = √20
---> silly statement, thus no solution
if you meant:
6x = √(20+6x)
then square each side
36x^2 = 20+6x
36x^2 - 6x - 20 = 0
(6x - 5)(6x + 4) = 0
x = 5/6 or x = -2/3
since we squared, all answers must be verified
if x = 5/6
LS = 6(5/6) = 5
RS = √(20 + 5) = √25 = 5 , good
if x = - 2/3
LS = 6(-2/3) = -4
Since the √(anything) by definition is positive, this is not valid
so x = 5/6
0 = √20
---> silly statement, thus no solution
if you meant:
6x = √(20+6x)
then square each side
36x^2 = 20+6x
36x^2 - 6x - 20 = 0
(6x - 5)(6x + 4) = 0
x = 5/6 or x = -2/3
since we squared, all answers must be verified
if x = 5/6
LS = 6(5/6) = 5
RS = √(20 + 5) = √25 = 5 , good
if x = - 2/3
LS = 6(-2/3) = -4
Since the √(anything) by definition is positive, this is not valid
so x = 5/6
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