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受欢迎的代数 >

3(2-x)^3-2(2-x)^2-19(2-x)-6=0

解答

3 (2 - x)^{3} - 2 (2 - x)^{2} - 19 (2 - x) - 6 = 0

解答

x = - 1, x = \frac{7}{3}, x = 4

+1

十进制

x = - 1, x = 2.33333 \dots, x = 4

求解步骤

3 (2 - x)^{3} - 2 (2 - x)^{2} - 19 (2 - x) - 6 = 0

展开

3 (2 - x)^{3} - 2 (2 - x)^{2} - 19 (2 - x) - 6 : - 3 x^{3} + 16 x^{2} - 9 x - 28

- 3 x^{3} + 16 x^{2} - 9 x - 28 = 0

因式分解

- 3 x^{3} + 16 x^{2} - 9 x - 28 : - (x + 1) (3 x - 7) (x - 4)

- (x + 1) (3 x - 7) (x - 4) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 1 = 0 or 3 x - 7 = 0 or x - 4 = 0

解

x + 1 = 0 : x = - 1

解

3 x - 7 = 0 : x = \frac{7}{3}

解

x - 4 = 0 : x = 4

解为

x = - 1, x = \frac{7}{3}, x = 4

作图

流行的例子

x^3+2x^2+16x+32=0

x^{3} + 2 x^{2} + 16 x + 32 = 0

2x^4+3x^3+16x+24=0

2 x^{4} + 3 x^{3} + 16 x + 24 = 0

4 x^{3} - 8 x + 1 = 0

solvefor A,A^4t=m-R^2

so l v e f or A, A^{4} t = m - R^{2}

roo t s x^{3} + 4 x