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受欢迎的代数 >

3x^3+7x^2+147x+343=0

解答

3 x^{3} + 7 x^{2} + 147 x + 343 = 0

解答

x = - \frac{7}{3}, x = 7 i, x = - 7 i

求解步骤

3 x^{3} + 7 x^{2} + 147 x + 343 = 0

因式分解

3 x^{3} + 7 x^{2} + 147 x + 343 : (3 x + 7) (x^{2} + 49)

(3 x + 7) (x^{2} + 49) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

3 x + 7 = 0 or x^{2} + 49 = 0

解

3 x + 7 = 0 : x = - \frac{7}{3}

解

x^{2} + 49 = 0 : x = 7 i, x = - 7 i

解为

x = - \frac{7}{3}, x = 7 i, x = - 7 i

作图

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