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Question Number 58103 by smiak8742 last updated on 17/Apr/19

f(x)=−x^6 +3 x^4 + 4x^2 find the zeros

f(x)=−x6+3x4+4x2findthezeros

Answered by MJS last updated on 17/Apr/19

x^6 −3x^4 −4x^2 =0 x^2 (x^4 −3x^2 −4)=0 x_1 =x_2 =0 x^4 −3x^2 −4=0 x=(√t) t^2 −3t−4=0 t_1 =−1; t_2 =4 ⇒ x_3 =−i; x_4 =i; x_5 =−2; x_6 =2

x6−3x4−4x2=0x2(x4−3x2−4)=0x1=x2=0x4−3x2−4=0x=tt2−3t−4=0t1=−1;t2=4⇒x3=−i;x4=i;x5=−2;x6=2

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