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受欢迎的代数 >

2t^3-3t^2-2t-42=0

解答

2 t^{3} - 3 t^{2} - 2 t - 42 = 0

解答

t = \frac{7}{2}, t = - 1 + 5 i, t = - 1 - 5 i

求解步骤

2 t^{3} - 3 t^{2} - 2 t - 42 = 0

因式分解

2 t^{3} - 3 t^{2} - 2 t - 42 : (2 t - 7) (t^{2} + 2 t + 6)

(2 t - 7) (t^{2} + 2 t + 6) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

2 t - 7 = 0 or t^{2} + 2 t + 6 = 0

解

2 t - 7 = 0 : t = \frac{7}{2}

解

t^{2} + 2 t + 6 = 0 : t = - 1 + 5 i, t = - 1 - 5 i

解为

t = \frac{7}{2}, t = - 1 + 5 i, t = - 1 - 5 i

作图

流行的例子

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