The equations ax^2+bx+c=0 and bx^2 ...
Question
The equations ax^2+bx+c=0 and bx^2 +cx+a = 0, where b^2-4ac≠0 have a common root, then a^3+b^3+c^3 is to (a≠0)
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The equations ax²+bx+c=0 and bx²+cx+a=0, where b² − 4ac≠0 have a common root, then a^3+b^3+c^3 is to (a≠0) (1) 3abc (2) abc (3) 0 (4) 1

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The equations ax^2+bx+c=0 and bx^2 +cx+a = 0, where b^2-4ac≠0 have a common root, then a^3+b^3+c^3 is to (a≠0)
Fullscreen

Let d be the common root ad2+bd+c=0 bd2+cd+a=0 d2ab-c2=dcb-a2=1ac-b2 ab-c2cb-a2=cb-a2ac-b2 c2b2+a4-2a2cb =a2cb-ac3+b2c2-b3a a4+ac3+b3a=3a2cb a3+b3+c3=3abc

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