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受欢迎的代数 >

-15z+41z^2-14z^3=0

解答

- 15 z + 41 z^{2} - 14 z^{3} = 0

解答

z = 0, z = \frac{3}{7}, z = \frac{5}{2}

+1

十进制

z = 0, z = 0.42857 \dots, z = 2.5

求解步骤

- 15 z + 41 z^{2} - 14 z^{3} = 0

因式分解

- 15 z + 41 z^{2} - 14 z^{3} : - z (7 z - 3) (2 z - 5)

- z (7 z - 3) (2 z - 5) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

z = 0 or 7 z - 3 = 0 or 2 z - 5 = 0

解

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

解

2 z - 5 = 0 : z = \frac{5}{2}

解为

z = 0, z = \frac{3}{7}, z = \frac{5}{2}

作图

流行的例子

\frac{4}{5} = 2500 r^{5}

3 b^{3} + 9 = 39

(1 + x)^{4} = 16

x^4-45x^2+324=0

x^{4} - 45 x^{2} + 324 = 0

solvefor x,x^3+x^2+x+1=0

so l v e f or x, x^{3} + x^{2} + x + 1 = 0