A nice Radical Algebra Problem | Math Olympiad Simplification |

A nice Radical Algebra Problem | Math Olympiad Simplification#radical #olympiad #simplification#exam
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[@roger-5879]

Il aurait été nécessaire de commencer la résolution du problème en précisant le ddmaine de X
C'est a dire que x > -12
x est un nombre rél car i n'a pas de racine
donc [12 + (12+x)^0.5 ]^0.5 > 0
donc x > 0 dans R+
c'est comme celà que j'ai appris les maths en 1955
Sino l'astuce du changement de variable est excélente
*******************************************************
It would have been necessary to start solving the problem by specifying the domain of x
That is to say that x > -12
x is a real number because i has no root
so [12 + (12+x)%0.5 ]%0.5 > 0
therefore x > 0 in R+
that's how I learned math in 1955
Otherwise the variable change trick is excellent

[@mircoceccarelli6689]

x > 0 solo soluzioni positive !!!
x = sqrx( f( x ) ) > 0 O.K.
NO x^2 = f( x )
1) x = ( - 1 + 3 sqrx( 5 ) ) ÷ 2 > 0
x = 3 phi - 2
2) x = 4 > 0
😊😁😁👍👋

[@ahmedali3464]

X=-3 is true because
√9=-3