Question

solve
sqrt9x+55=x+5

Answer 1

if you could graph them, the points where they intersect are the solutions

Answer 2

otherwise, you have to square both sides and work it from that angle and dbl chk the results for extranuous results

Answer 3

sqrt9x or sqrt(9x+55) ???

Answer 4

it sqrt 9x+55

Answer 5

so then it would be 0 right that is what i got

Answer 6

after squared both sides you get 9x+55=x2 +10x +25

x2 +x -30=0
x_1,_2=(1+/- sqrt(1+120))/2 =(1+/- sqrt121)/2 = -5 and 6

Answer 7

\[\sqrt{55}\ne5\]

Answer 8

so then where did i go wrong if i got 0 instead of sqrt 55 =5

Answer 9

man i messed that up let me try again
\[9x+55=x^2+10x+25\]
\[x^2+x-30=0\]
\[(x-5)(x+6)=0\]
\[x=5,x=-6\] now we check

Answer 10

replace x by 5 to get
\[\sqrt{9\times 5+55}=5+5\]
\[\sqrt{100}=10\]
\[10=10\] that one checks

Answer 11

\[\sqrt{9\times (-6)+55}=-6+5\]
\[\sqrt{1}=-1\] nope

Answer 12

so answer is
\[x=5\]

Answer 13

thank you