The untidied.

Calculus Level 4

The equation

a 3 x 4 + 2 a 2 b x 3 + ( 2 c a + b 2 + b ) a x 2 + ( 2 c a + b ) b x + ( c a + b + 1 ) c = x \large a^3x^4 + 2a^2bx^3 + (2ca + b^2 + b)ax^2 + (2ca + b)bx + (ca + b + 1)c = x

has four distinct real roots of x x .

Which relation can be made between c c ; a a and b b ? ( a ; b ; c a; \: b; \: c are constants.)

Choose the most correct and specific answer.

This is part of the series: " It's easy, believe me! "

( b − 1 ) 2 > 4 ( c a + 1 ) (b - 1)^2 > 4(ca + 1) ( b + 1 ) 2 > 4 ( c a − 1 ) (b + 1)^2 > 4(ca - 1) b 2 > 4 c a b^2 > 4ca Cannot be determined. None of the others.

Thành Đạt Lê by Thành Đạt Lê , 17, Singapore

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