Latest Maths Olympiad Aptitude Question SOLUTION: Let P1(x) = ax^2 + bx + c, P2(x) = bx^2 + cx +a, P3(x) = cx^2 + ax + b be three quadratic polynomials where a, b, c are non-zero real numbers. Suppose there exists a real number 

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(#M40021982) MATHS OLYMPIAD question GEOMETRY Keep an EYE

Let P1(x) = ax^2 + bx + c, P2(x) = bx^2 + cx +a, P3(x) = cx^2 + ax + b be three quadratic polynomials where a, b, c are non-zero real numbers. Suppose there exists a real number
 such that P1() = P2() = P3(). Prove that a = b = c.

Asked In Maths Olympiad MAN (10 years ago)

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