Quadratic Equation Riddle.

Algebra Level 3

Lets give you a riddle of quadratic equations.

Say that there is an equation a x 2 + b x + c ax^2+bx+c such that a , b , c R a,b,c \in \mathbb{R} .

Now there are two friends Jack and Ann .

Jack will try to set the coefficients(a,b,c) such that the the roots are always real.

Ann will rearrange the coefficients given by Jack such that she can bring out atleast one imaginary root.

In which team you would prefer to stay to win easily?


Bonus: Share your reasons!

ORIGINAL, If you liked, Please hit the like button!

Ann Equally Likely Cannot Be Determined Jack

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1 solution

Md Zuhair
Sep 22, 2017

I would personally like to stay with Jack.

This is simply because Jack can set any triplet (a,b,c) such that a + b + c = 0 a+b+c=0 .

If he sets like this, He will always win as one root becomes 1 1 and coefficients are real, so other must be also real.

SO JACK WINS EASILY

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