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

(x-4)(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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