An algebra problem [Romania 1974]

Algebra Level 2

a + b x + b + c x + c + a x = b − a x + c − b x + a − c x \large \sqrt{a+bx} + \sqrt{b+cx} + \sqrt{c+ax} = \sqrt{b-ax} + \sqrt{c-bx} +\sqrt{a-cx}

Let a , b a,b and c c be real and positive parameters. Solve the equation above. What is the value of x x ?


The answer is 0.

Novril Razenda by Novril Razenda , 21, Indonesia

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1 solution

Deepak Kumar
Jul 2, 2016

By simple observation answer is 0

1 Helpful 0 Interesting 0 Brilliant 0 Confused

can you explain it? so that x=0 ?

Novril Razenda - 4 years, 11 months ago

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