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受欢迎的代数 >

0.5x=1-x^2

解答

0.5 x = 1 - x^{2}

解答

x = - \frac{1 + 17}{4}, x = \frac{17 - 1}{4}

+1

十进制

x = - 1.28077 \dots, x = 0.78077 \dots

求解步骤

0.5 x = 1 - x^{2}

在两边乘以

10

5 x = 10 - 10 x^{2}

交换两边

10 - 10 x^{2} = 5 x

将

5 x

para o lado esquerdo

10 - 10 x^{2} - 5 x = 0

改写成标准形式

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

- 10 x^{2} - 5 x + 10 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 ( - 10 ) \cdot 10}{2 ( - 10 )}

(- 5)^{2} - 4 (- 10) \cdot 10 = 517

x_{1, 2} = \frac{- ( - 5 ) \pm 5 17}{2 ( - 10 )}

将解分隔开

x_{1} = \frac{- ( - 5 ) + 5 17}{2 ( - 10 )}, x_{2} = \frac{- ( - 5 ) - 5 17}{2 ( - 10 )}

x = \frac{- ( - 5 ) + 5 17}{2 ( - 10 )} : - \frac{1 + 17}{4}

x = \frac{- ( - 5 ) - 5 17}{2 ( - 10 )} : \frac{17 - 1}{4}

二次方程组的解是:

x = - \frac{1 + 17}{4}, x = \frac{17 - 1}{4}

作图

流行的例子

因式分解 cd+5c+4d+20

f a c t or c d + 5 c + 4 d + 20

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f a c t or C a + H Cl

\frac{x}{12} - 1 = - 6

∣ x - 5 ∣ = 10

9 - 3 (x - 8) = 48