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受欢迎的代数 >

10+10x-2x^2-2x^3=0

解答

10 + 10 x - 2 x^{2} - 2 x^{3} = 0

解答

x = - 1, x = - 5, x = 5

+1

十进制

x = - 1, x = - 2.23606 \dots, x = 2.23606 \dots

求解步骤

10 + 10 x - 2 x^{2} - 2 x^{3} = 0

改写成标准形式

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

- 2 x^{3} - 2 x^{2} + 10 x + 10 = 0

因式分解

- 2 x^{3} - 2 x^{2} + 10 x + 10 : - 2 (x + 1) (x + 5) (x - 5)

- 2 (x + 1) (x + 5) (x - 5) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 1 = 0 or x + 5 = 0 or x - 5 = 0

解

x + 1 = 0 : x = - 1

解

x + 5 = 0 : x = - 5

解

x - 5 = 0 : x = 5

解为

x = - 1, x = - 5, x = 5

作图

流行的例子

x^3-6x^2-11x-6=0

x^{3} - 6 x^{2} - 11 x - 6 = 0

x^{4} + 5 x^{3} + 8^{2} = 0

x^3-4x^2-2x+20=0

x^{3} - 4 x^{2} - 2 x + 20 = 0

solvefor x,2x^3-3y-16=0

so l v e f or x, 2 x^{3} - 3 y - 16 = 0

solvefor x,x^6= 9/4

so l v e f or x, x^{6} = \frac{9}{4}