Question

solve the tree roots

Answer 1

\[ \sqrt{2x^2+x+5}+\sqrt{x^2+x+1}=\sqrt{x^2-3x+13}\]

Answer 2

Squaring both sides :)

Answer 3

that is the last option do you see any relationship

Answer 4

Well i do not recommend it to do that way

Answer 5

\[3x^2+2x+6+2\sqrt{(2x^2+x+5)(x^2+x+1)}=x^2-3x+13\]

Answer 6

just because of the complications :)

Answer 7

\[2x^2+5x-9+2\sqrt{roots}=0\]

Answer 8

no keep 2underroot on one side and take the rest on one side and then apply squaring both sides again

Answer 9

\[2\sqrt{roots}=-2x^2-5x+9\]

Answer 10

lol i see that adding theroots gives the number outside

Answer 11

a relationxip

Answer 12

\[-(p+q)=2\sqrt{pq}\]

Answer 13

\[p^2+2pq+q^2=4pq\]
\[p^2-2pq+q^2=0\]

Answer 14

\[(p-q)^2=0\]

Answer 15

p=q

Answer 16

\[x^2+x+1=x^2-3x+13\]

Answer 17

\[x=3\]

Answer 18

is this correct

Answer 19

yes

Answer 20

ithink there is a problem

Answer 21

i ignored x^2-13x+13 on the right

Answer 22

-13x?

Answer 23

\[-2\sqrt{roots}=2x^2+5x-9\]
sum of roots dnt give number out side

Answer 24

no i meant -3x

Answer 25

unsorted

Answer 26

@hartnn can you see the mistake

Answer 27

its not x=3, i saw your mistake, but i don't have any better method to come up with, thats why i was silent

Answer 28

wolf gave this
http://www.wolframalpha.com/input/?i=sqrt%282x%5E2%2Bx%2B5%29%2Bsqrt%28x%5E2%2Bx%2B1%29%3Dsqrt%28x%5E2%E2%88%923x%2B13%29