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受欢迎的代数 >

2q^3-9q^2-1100=0

解答

2 q^{3} - 9 q^{2} - 1100 = 0

解答

q = 10, q = - \frac{11}{4} + i \frac{759}{4}, q = - \frac{11}{4} - i \frac{759}{4}

求解步骤

2 q^{3} - 9 q^{2} - 1100 = 0

因式分解

2 q^{3} - 9 q^{2} - 1100 : (q - 10) (2 q^{2} + 11 q + 110)

(q - 10) (2 q^{2} + 11 q + 110) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

q - 10 = 0 or 2 q^{2} + 11 q + 110 = 0

解

q - 10 = 0 : q = 10

解

2 q^{2} + 11 q + 110 = 0 : q = - \frac{11}{4} + i \frac{759}{4}, q = - \frac{11}{4} - i \frac{759}{4}

解为

q = 10, q = - \frac{11}{4} + i \frac{759}{4}, q = - \frac{11}{4} - i \frac{759}{4}

作图

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