Nice Square Root Math Simplification | How to solve!!

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International Math Olympiad
Algebra Simplification
Nice Square Root Math Simplification
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[@cosmolbfu67]

2x+4= -2√(x+2) x+2= -√(x+2) Let √(x+2)=a , a>=0** a^2 = -a a(a+1)=0 , a= -1,0 a=0** √(x+2) =0 x= -2***

[@Юрий-и5з4л]

-2

[@shannonmcdonald7584]

Can i skip the work and just tell u its -2?

[@ghaidabarghouthi1403]

Divide by 2 before squaring

[@robertstuart6645]

It's not necessary to move one of the radicals to the right-hand side of the equation to be with the "1." You can perform the two required "squaring" procedures with all the radicals on one side of the equation and you will obtain the correct answer of -2.

[@MasterTMathsClass]

Nice one

[@lifewatery7472]

u=√(3x+7), v=√(x+2), u&v>=0 u+v=1 u²-3v²=1 (1-v)²-3v²=1 v²-2v+1-3v²=1 v²+v=0 v(v+1)=0 v=0, v=-1(v>=0, reject) √x+2=0 x=-2

[@MasterTMathsClass]

Well done 🎉

[@wasimvillidad3000]

Let t = x + 2.

[@ТатьянаКузьмич-х3ы]

-2?

[@jagadiswarchakraborty295]

Not a critical problem and yet O.K.

[@carloshenriquedesouzacoelho]

(A+B)^2 = (C)^2

[@cuongtu6088]

u^2=3x + 7 V^2=x+2

[@lifewatery7472]

Yes

[@yiqingchen657]

You can use more simple way to solve out,