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受欢迎的代数 >

因式分解 2x^4=50

解答

因式分解

2 x^{4} = 50

解答

x = 5 i, x = - 5 i, x = - 5, x = 5

求解步骤

2 x^{4} = 50

将

50

para o lado esquerdo

2 x^{4} - 50 = 0

因式分解

2 x^{4} - 50 : 2 (x^{2} + 5) (x + 5) (x - 5)

2 (x^{2} + 5) (x + 5) (x - 5) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x^{2} + 5 = 0 or x + 5 = 0 or x - 5 = 0

解

x^{2} + 5 = 0 : x = 5 i, x = - 5 i

解

x + 5 = 0 : x = - 5

解

x - 5 = 0 : x = 5

解为

x = 5 i, x = - 5 i, x = - 5, x = 5

作图

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