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受欢迎的代数 >

(1-z)z= 1/8

解答

(1 - z) z = \frac{1}{8}

解答

z = \frac{2 - 2}{4}, z = \frac{2 + 2}{4}

+1

十进制

z = 0.14644 \dots, z = 0.85355 \dots

求解步骤

(1 - z) z = \frac{1}{8}

在两边乘以

8

8 z (1 - z) = 1

展开

8 z (1 - z) : 8 z - 8 z^{2}

8 z - 8 z^{2} = 1

将

1

para o lado esquerdo

8 z - 8 z^{2} - 1 = 0

改写成标准形式

a x^{2} + b x + c = 0

- 8 z^{2} + 8 z - 1 = 0

使用求根公式求解

z_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 ( - 8 ) ( - 1 )}{2 ( - 8 )}

8^{2} - 4 (- 8) (- 1) = 42

z_{1, 2} = \frac{- 8 \pm 4 2}{2 ( - 8 )}

将解分隔开

z_{1} = \frac{- 8 + 4 2}{2 ( - 8 )}, z_{2} = \frac{- 8 - 4 2}{2 ( - 8 )}

z = \frac{- 8 + 4 2}{2 ( - 8 )} : \frac{2 - 2}{4}

z = \frac{- 8 - 4 2}{2 ( - 8 )} : \frac{2 + 2}{4}

二次方程组的解是:

z = \frac{2 - 2}{4}, z = \frac{2 + 2}{4}

作图

流行的例子

y^2-(-3)+5=-(-3)y^2

y^{2} - (- 3) + 5 = - (- 3) y^{2}

7 x^{2} - x - 1 = 0

x^{2} - 12 x = 64

x^{2} - 12 x = 14

0 = 2 x^{2} - 6 x - 1