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solve the equation
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最佳解答:
p^3-77p+230=0 p(p^2 -77)+230 =0 p(p^2-100) +23p +230=0 p(p-10)(p+10)+23(p+10)=0 (p+10)[p(p-10)+23)=0 (p+10)(p^2-10p+23)=0 p= -10 or p= 5 + sqrt(2) or p= 5 - sqrt(2) (上面點答者用 (p+10)係因為 -10是唯一解此方程的整數值. 可利用因式定理找出的)
其他解答:
We can use factor thm to find a factor, then divide it by the factor to get the quotient, and hence factorize the quotient.|||||230 有以下 factors: 正負 1, 2, 5, 10, 23, 46, 115, 230 sub p = 以上各值, 會發現 當 p = -10 時, p^3 - 77p + 230 = 0 所以 p + 10 is a factor
solve the equation
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solve the equation p^3-77p+230=0 更新: 點知係(p+10)??最佳解答:
p^3-77p+230=0 p(p^2 -77)+230 =0 p(p^2-100) +23p +230=0 p(p-10)(p+10)+23(p+10)=0 (p+10)[p(p-10)+23)=0 (p+10)(p^2-10p+23)=0 p= -10 or p= 5 + sqrt(2) or p= 5 - sqrt(2) (上面點答者用 (p+10)係因為 -10是唯一解此方程的整數值. 可利用因式定理找出的)
其他解答:
We can use factor thm to find a factor, then divide it by the factor to get the quotient, and hence factorize the quotient.|||||230 有以下 factors: 正負 1, 2, 5, 10, 23, 46, 115, 230 sub p = 以上各值, 會發現 當 p = -10 時, p^3 - 77p + 230 = 0 所以 p + 10 is a factor
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