Question

sqrt(2p+4)-sqrt(p+3)=1

Answer 1

\[\sqrt{p+4}-\sqrt{p+3}=1\]

Answer 2

Is it 2p+4 or p+4 ?

Answer 3

yes 2p...my mistake

Answer 4

sqrt(2p+4)=1+sqrt(p+3)
Squaring on both sides,
2p+4 = 1+p+3+2sqrt(p+3) , 2p+4 = 4+p+2sqrt(p+3) , p = 2sqrt(p+3).
Again squaring on both sides,
p^2 = 4(p+3) , p^2-4p-12=0
Solving the quadratic , p = -2,6.

Answer 5

wouldnt it be -6 and 2??

Answer 6

p^2-4p-12 factors to (p+6)(p-2)
therefore p=-6,2
when i tried to chec my solutions 2 didnt work, but -6 did.
so the correct solution is -6, correct?

Answer 7

The factors are (p-6)(p+2). It will work .Please check it again.

Answer 8

But the solution will be 6 only.

Answer 9

ok, so i am correct -2 doesnt work? thank you

Answer 10

You're welcome.