Question

How do I solve (sqrt)2x+3 = x ?

Answer 1

its \(\sqrt{2x+3}=x\)
right ?
square both sides ,what u get ?

Answer 2

2x +3 = x^2 ?

Answer 3

Then I solve from there?

Answer 4

yes, you know how to solve that quadratic equation ?

Answer 5

I'm not sure..

Answer 6

It looks easy! I don't know what I'm missing..

Answer 7

we have x^2-2x-3 =0
ok ?

can you tell me 2 numbers whose sum is -2 and product is -3 ??

Answer 8

hint : one number is positive and other is negative

Answer 9

-3 times 1?

Answer 10

correct!
so we split the -2x into -3x+1x

we have now
x^2-2x+x-3 =0

know how to proceed further ?

Answer 11

combine like terms?

Answer 12

factor out 'x' from the 1st 2 terms
x^2-2x
what u get ?

Answer 13

wait, I don't understand. What are we doing with the x's?

Answer 14

we are trying to factor
x^2-2x-3=0

and get and answer like (x-a)(x+b) = 0

Answer 15

would it be 0 = (x-3)(x+1) ?

Answer 16

correct! good :)

Answer 17

(x-3)(x+1) = 0
so
x-3=0 , x = .... ?
x+1 =0, x= ... ?

Answer 18

correct! good :)

Answer 19

x=3 and x=-1

Answer 20

Thank you so much! I should have known this. I appreciate it. (:

Answer 21

you are most welcome ^_^