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受欢迎的代数 >

2x^3-9x^2+10x-3=0

解答

2 x^{3} - 9 x^{2} + 10 x - 3 = 0

解答

x = 1, x = \frac{1}{2}, x = 3

+1

十进制

x = 1, x = 0.5, x = 3

求解步骤

2 x^{3} - 9 x^{2} + 10 x - 3 = 0

因式分解

2 x^{3} - 9 x^{2} + 10 x - 3 : (x - 1) (2 x - 1) (x - 3)

(x - 1) (2 x - 1) (x - 3) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 1 = 0 or 2 x - 1 = 0 or x - 3 = 0

解

x - 1 = 0 : x = 1

解

2 x - 1 = 0 : x = \frac{1}{2}

解

x - 3 = 0 : x = 3

解为

x = 1, x = \frac{1}{2}, x = 3

作图

流行的例子

根 16x^3-4x^2-20x+5

roo t s 16 x^{3} - 4 x^{2} - 20 x + 5

因式分解 r^3-r^2-r+1=0

f a c t or r^{3} - r^{2} - r + 1 = 0

因式分解 r^3-5r^2+3r+9=0

f a c t or r^{3} - 5 r^{2} + 3 r + 9 = 0

x^5-10x^3-20x^2-15x-4=0

x^{5} - 10 x^{3} - 20 x^{2} - 15 x - 4 = 0

x^4+11x^2=3x^2+128

x^{4} + 11 x^{2} = 3 x^{2} + 128