Question

Solve the equation

\[\sqrt{2x-3}\] +5 =6

Answer 1

draw it.

Answer 2

\[\sqrt{2x-3}\] +5 =6 like this

Answer 3

you can subtract 5 fom both sides, first

Answer 4

There's no need to draw it though

Answer 5

but its not underneath its next to it

Answer 6

then squaring both sides will make it much simpler then

Answer 7

im so confused

Answer 8

isolate the square root sign by subtracting 5 from both sides...can u?

Answer 9

yea i did that and got 1

Answer 10

correct...now square both sides..

Answer 11

ok and i got 4x²-20x+25

Answer 12

actually, squaring and square root gets cancelled
\((\sqrt{A})^2=A\)
so, \((\sqrt{2x-3})^2=2x-3\) only
got this ?

Answer 13

I will show you how it's done just now that is if you will like how I will do it but even if you don't like my way I will do it my way anyway :
\[\sqrt{2x-3}+5=6 \rightarrow \sqrt{2x-3}=6-5 \rightarrow \sqrt{2x-3}=1 \]
And now you can square both sides of the equation as follows
\[\left( \sqrt{2x-3} \right)^2 = 1^2 \]
\[2x-3=1\]
\[2x=4 \rightarrow x=2\] but you need to go back and check if the solution makes sense or not hey by substituting your result into the original equation
\[\sqrt{2(2)-3} +5=6\]
\[\sqrt{4-3}+5=6 \rightarrow \sqrt{1}+5=6 \rightarrow 1+5=6 \] and you can see that hey the left hand side is equal to the right hand side which means that the solution makes sense \[6=6 \rightarrow RHS=LHS\] as expected

Answer 14

kinda?

Answer 15

so its just 2x-3 =1
aon't this easy to solve ?

Answer 16

*ain't

Answer 17

yea i its x=2

Answer 18

correct :)

Answer 19

Does the answer make sense to you though ? Indiandabest ???

Answer 20

i mean kinda i kinda know what to do from now on

Answer 21

Dont I deserve a medal for this at least :)

Answer 22

lol yea

Answer 23

Hahaha thanks