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It would have been easier if in the beginning you subtracted the sqrt(X) from both sides of the equation and then squared both sides. This would have led to less math.
Good. I'm curious to know in what practical situation in real life we can arrive at an equation like this and many others that you have already solved on the channel. Can you give us a practical example of this particular equation in real life? Greetings from Brazil!
Thank you. But we can do it a little differently. 1) We substitute instead of ‘x’ - squares of numbers. We easy to find the root of equation: x=25. 2) f(x)=sqrt(x)+sqrt(x-9) is an increasing function. So , it takes all its values only once . That’s enough . And that’s Your answer. Another solution. (1) sqrt(x)=u>=0 , (2) sqrt(x-9)=v>=0 . (3) u+v=9 , (4) u^2-v^2=9. So : [u^2-v^2]/[u+v]=9/9 ; (5) u-v=1 . (u+v)+(u-v)=9+1 . (6) u=5>=0 .v=9-5=4>=0 . We substitute (6) in (at ?) (1) . We get Your answer. With respect , Lidiy
Very nice recalling our memories of maths while in school/college
It would have been easier if in the beginning you subtracted the sqrt(X) from both sides of the equation and then squared both sides. This would have led to less math.
25 by trial and error. No math needed.
Good. I'm curious to know in what practical situation in real life we can arrive at an equation like this and many others that you have already solved on the channel. Can you give us a practical example of this particular equation in real life? Greetings from Brazil!
Would be much easier to subtract the square root of x from both sides.
Thank you. But we can do it a little differently.
1) We substitute instead of ‘x’ - squares of numbers. We easy to find the root of equation: x=25.
2) f(x)=sqrt(x)+sqrt(x-9) is an increasing function. So , it takes all its values only once .
That’s enough . And that’s Your answer.
Another solution.
(1) sqrt(x)=u>=0 , (2) sqrt(x-9)=v>=0 . (3) u+v=9 , (4) u^2-v^2=9. So : [u^2-v^2]/[u+v]=9/9 ; (5) u-v=1 . (u+v)+(u-v)=9+1 . (6) u=5>=0 .v=9-5=4>=0 . We substitute (6) in (at ?) (1) . We get Your answer.
With respect , Lidiy
simply take sqrt(x) to the other side square both sides, you will get
x-9=81-18Sqrt(x)+x
18Sqrt(x)= 90
SQRT(x)=5
x=25
Красиво !
Thank you very much!
One of the solutions is x = 25.
asnwer=3 os isit
X=25
Ruined By Yokebet from 9C
Neden bu kadar uzun bir işlem 🤔
easiest