16x^3+156x^2=972 X係幾多 求請教?

2015-11-21 12:23 am

回答 (2)

2015-11-21 3:28 am
✔ 最佳答案
Sol
16x^3+156x^2=972
16x^3+156x^2-972=0
4x^3+39x^2-243=0
4*(-3)^3+39*(-3)^2-243=0
-3為一根
4x^3+39x^2-243=0
(4x^3+12x^2)+(27x^2+81x)+(-81x-243)=0
4x^2(x+3)+27x(x+3)-81(x+3)=0
(4x^2+27x-81)(x+3)=0
(4x-9)(x+9)(x+3)=0
x=9/4 or x=-9 or x=-3
2015-11-22 1:06 am
16x^3+156x^2=972
16x^3+156x^2-972=0
x=9/4 or x=-3 or x=-9


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