Question

x+2square root of x -3=0 solve for x

Answer 1

wait do u mean x+2 * sqrt of x-3 ???

Answer 2

x + 2sqrt(x-3) = 0
is this correct?

Answer 3

No its \[x+2\sqrt{x}-3=0\]solve for x

Answer 4

in that case, treat it like a quadratic.
u = sqrt(x)

-> u^2+2u-3 = 0

Answer 5

2sqrt x = 3-x
square both sides
4x = 9-6x+x^2
x^2 -10x + 9 = 0
(x-9)(x-1) = 0
x = 9 or 1

x = 1 satisfies the original equation and is the only solution

Answer 6

notice x=9 does not satisfy the equation

Answer 7

this happens sometimes when you solve equations containing radicals by squaring - always check your results by substitution

Answer 8

ok thank you