Question

can someone check if this equation is true please? 2√(7.5+5)+7=4

Answer 1

true

Answer 2

can you show me your work?

Answer 3

its not true btw

Answer 4

i just don't know how to do it

Answer 5

but ik its not true

Answer 6

first try the sqrt(7.5+5)
I feel like that would turn into a really weird number xD

Answer 7

12.5

Answer 8

i did up to that but i get confused when to get rid of the square root

Answer 9

are you allowed to use a calculator?

Answer 10

yes

Answer 11

then do
2* sqrt(12.5)+7

Answer 12

14.0710678119

Answer 13

but you should know that 3*3 is 9
and 4*4 is 16
so the square root is between 3 and 4
and if we just use 3
2*3+7= 13
and if we used 4 it would be even bigger.
we will never get 4

Answer 14

normally an equation has a variable (a letter)
are you sure you have the correct question ?

Answer 15

the question was to make an equation with an extraneous solution, i did 2√(x+5)+7=4 and it worked out to 7.5, now I'm checking if its extraneous

Answer 16

2√(7.5+5)+7=4
14.07... \( \ne\) 4

Answer 17

thats it?

Answer 18

so you solved for x ?
2√(x+5)+7=4
\[ \sqrt{x+5}= -\frac{3}{2} \\ x+5 = \frac{9}{4} \\ x= -\frac{11}{4} \]

Answer 19

that solution is extraneous (it does not work in the original equation)

Answer 20

Thank you sir

Answer 21

you are a very good teacher