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受欢迎的代数 >

6x^3-47x^2+36x-7=0

解答

6 x^{3} - 47 x^{2} + 36 x - 7 = 0

解答

x = 7, x = \frac{1}{3}, x = \frac{1}{2}

+1

十进制

x = 7, x = 0.33333 \dots, x = 0.5

求解步骤

6 x^{3} - 47 x^{2} + 36 x - 7 = 0

因式分解

6 x^{3} - 47 x^{2} + 36 x - 7 : (x - 7) (3 x - 1) (2 x - 1)

(x - 7) (3 x - 1) (2 x - 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 7 = 0 or 3 x - 1 = 0 or 2 x - 1 = 0

解

x - 7 = 0 : x = 7

解

3 x - 1 = 0 : x = \frac{1}{3}

解

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

解为

x = 7, x = \frac{1}{3}, x = \frac{1}{2}

作图

流行的例子

x^3-5x^2+4x+6=0

x^{3} - 5 x^{2} + 4 x + 6 = 0

sqrt(3)b=9(b^3+3)

3 b = 9 (b^{3} + 3)

solvefor x,x^4+4y^2=z^2

so l v e f or x, x^{4} + 4 y^{2} = z^{2}

y^{(10)} = 0

27x^3+27x^2+9x=-1

27 x^{3} + 27 x^{2} + 9 x = - 1