Posted by Anonymous on Saturday, November 7, 2009 at 6:23pm.
Solve. If the equation has no real solution, say so.
Square root 3x+4 =x

Algebra 2 URGENT PLEASE HELP  Reiny, Saturday, November 7, 2009 at 7:11pm
Is it √(3x+4) or √(3x) + 4 ?
If first version
√(3x+4) = x
square both sides
3x+4 = x^2
x^2  3x  4 = 0
(x4)(x+1) = 0
x = 4 or x = 1

Algebra 2 URGENT PLEASE HELP  Reiny, Saturday, November 7, 2009 at 7:15pm
I pressed "post answer" too soon
Of course since we squared both sides, extraneous roots could have been introduced, so all answers have to be verified.
if x = 4
LS = √(12+4)
= √16 = 4 = RS
if x = 1
LS = √1 = 1
RS = 1
so x = 4 is the only solution.
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