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受欢迎的代数 >

x^5-x^4-9x^3=0

解答

x^{5} - x^{4} - 9 x^{3} = 0

解答

x = 0, x = \frac{1 + 37}{2}, x = \frac{1 - 37}{2}

+1

十进制

x = 0, x = 3.54138 \dots, x = - 2.54138 \dots

求解步骤

x^{5} - x^{4} - 9 x^{3} = 0

因式分解

x^{5} - x^{4} - 9 x^{3} : x^{3} (x^{2} - x - 9)

x^{3} (x^{2} - x - 9) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or x^{2} - x - 9 = 0

解

x^{2} - x - 9 = 0 : x = \frac{1 + 37}{2}, x = \frac{1 - 37}{2}

解为

x = 0, x = \frac{1 + 37}{2}, x = \frac{1 - 37}{2}

作图

流行的例子

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

(3x-1)^2x(x-3)=1

(3 x - 1)^{2} x (x - 3) = 1

- 2 (x + 2)^{3} - 8 = 0

solvefor x,f=x^4-6x^2+6

so l v e f or x, f = x^{4} - 6 x^{2} + 6

z^{3} + z + 1 = 0