The value of a given that the cubic

Ean Hughes

Ean Hughes

Answered question

2022-04-09

The value of a given that the cubic equation x3+2ax+2=0 and the biquadratic equation x4+2ax2+1=0 have a common root.

Answer & Explanation

abangan85s0

abangan85s0

Beginner2022-04-10Added 16 answers

Assume r is the common root. Then,
r3+2ar+2=0 (1)
r4+2ar2+1=0 (2)
Take (1)r(2) to obtain r=12 and then a=178.

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