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受欢迎的代数 >

9x^3+45x^2-16x-80=0

解答

9 x^{3} + 45 x^{2} - 16 x - 80 = 0

解答

x = - 5, x = - \frac{4}{3}, x = \frac{4}{3}

+1

十进制

x = - 5, x = - 1.33333 \dots, x = 1.33333 \dots

求解步骤

9 x^{3} + 45 x^{2} - 16 x - 80 = 0

因式分解

9 x^{3} + 45 x^{2} - 16 x - 80 : (x + 5) (3 x + 4) (3 x - 4)

(x + 5) (3 x + 4) (3 x - 4) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 5 = 0 or 3 x + 4 = 0 or 3 x - 4 = 0

解

x + 5 = 0 : x = - 5

解

3 x + 4 = 0 : x = - \frac{4}{3}

解

3 x - 4 = 0 : x = \frac{4}{3}

解为

x = - 5, x = - \frac{4}{3}, x = \frac{4}{3}

作图

流行的例子

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4 x^{3} - 48 x + 192 x^{2} = 0

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2 x^{3} + 5 c - 3 = 0

3x^3+7x^2-33x-77=0

3 x^{3} + 7 x^{2} - 33 x - 77 = 0