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受欢迎的代数 >

2x^3+5x^2-36x=90

解答

2 x^{3} + 5 x^{2} - 36 x = 90

解答

x = - \frac{5}{2}, x = - 32, x = 32

+1

十进制

x = - 2.5, x = - 4.24264 \dots, x = 4.24264 \dots

求解步骤

2 x^{3} + 5 x^{2} - 36 x = 90

将

90

para o lado esquerdo

2 x^{3} + 5 x^{2} - 36 x - 90 = 0

因式分解

2 x^{3} + 5 x^{2} - 36 x - 90 : (2 x + 5) (x + 32) (x - 32)

(2 x + 5) (x + 32) (x - 32) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

2 x + 5 = 0 or x + 32 = 0 or x - 32 = 0

解

2 x + 5 = 0 : x = - \frac{5}{2}

解

x + 32 = 0 : x = - 32

解

x - 32 = 0 : x = 32

解为

x = - \frac{5}{2}, x = - 32, x = 32

作图

流行的例子

solvefor x,y^3-x^3=3

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

b^{3} = 5

x=x-x^3-4*x^2+10

x = x - x^{3} - 4 \cdot x^{2} + 10

0=x(x+5)(x^2-8x-19)

0 = x (x + 5) (x^{2} - 8 x - 19)

solvefor m,m^3-3m-26=0

so l v e f or m, m^{3} - 3 m - 26 = 0