Question

solve
sqrt 9x+55=x+5

Answer 1

flycherry u should try this by yourself, if ur stuck somewhere i'll help u

Answer 2

did u try flycherry??

Answer 3

ok

Answer 4

no i dint try because i dont know where to start lol

Answer 5

ohk
we have\[\sqrt{9x+55}=x+5\]
now square both sides

Answer 6

so I am squaring the 9 and the 5 at the end?

Answer 7

thats 81 and 25

Answer 8

no. square both sides

Answer 9

i dont know what that means

Answer 10

left hand side has a root so if u square it u are left with 9x+55

Answer 11

that makes absolutely no sense tome

Answer 12

now on the right hand side we have (x+5)
you know (a+b)^2=a^2+b^2+2ab
apply this to right hand side

Answer 13

if you are squaring a root then it would be 2sqrt then the rest... lol

Answer 14

nope

Answer 15

square root of 4 is 2
if you square 2 you get 4 again , did u understand

Answer 16

square of a square root term and we r left with only the term

Answer 17

are u getting my point

Answer 18

omg this same question is on my test

Answer 19

see our question is
\[\sqrt{9x+55}=x+5\]
now square right hand side as well as the left hand side
we get
\[9x+55=(x+5)^{2}\]

Answer 20

now use the formula for (a+b)^2=a^2+b^2+2ab

Answer 21

so we get
\[9x+55=x^2+5^2+10x\]

Answer 22

\[9x+55=x^2+25+10x\]
bring all the terms to left hand side
we get
0=x^2+x-30

Answer 23

now factor the term 30,such that both factors differ by 1
5,6 are the two factors of 30 satisfying this

Answer 24

so x can be written as 6x-5x

Answer 25

our equation can be rewritten as
x^2+6x-5x-30=0

Answer 26

now take out the common factors
x(x+6)-5(x+6)=0
takin out (x+6) common we get
(x+6)(x-5)=0
so x=-6 or x=5

Answer 27

flycherry did u understand?