SOLUTION: {{{sqrt(4x+1)-sqrt(2x+4)=1}}}
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Question 904562:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
add to both sides of the equation to get:
=
square both sides of the eqaution to get:
=
combine like terms to get:
=
subtract 2x and subtract 5 from both sides of the equation to get:
=
simplify to get:
=
divide both sides of the equation by 2 to get:
=
square both sides of the equation to get:
=
simplify to get:
=
subtract 2x and subtract 4 from both sides of the equation to get:
= 0
complete the squares to get:
=
add 9 to both sides of the equation to get:
=
take the square root of both sides of the equation to get:
= +/-
add 3 to both sides of the equation to get:
x = or x =
that makes x = 6 or x = 0
when x = 6, the original equation becomes which becomes which is true because 1 = 1.
when x = 0, the original equation becomes which becomes which is false because -1 does not equal 1.
your solution is therefore that x = 6.
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