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受欢迎的代数 >

4.6x=4-x^2

解答

4.6 x = 4 - x^{2}

解答

x = - \frac{23 + 929}{10}, x = \frac{929 - 23}{10}

+1

十进制

x = - 5.34795 \dots, x = 0.74795 \dots

求解步骤

4.6 x = 4 - x^{2}

在两边乘以

10

46 x = 40 - 10 x^{2}

交换两边

40 - 10 x^{2} = 46 x

将

46 x

para o lado esquerdo

40 - 10 x^{2} - 46 x = 0

改写成标准形式

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

- 10 x^{2} - 46 x + 40 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 46 ) \pm ( - 46 ) ^{2} - 4 ( - 10 ) \cdot 40}{2 ( - 10 )}

(- 46)^{2} - 4 (- 10) \cdot 40 = 2929

x_{1, 2} = \frac{- ( - 46 ) \pm 2 929}{2 ( - 10 )}

将解分隔开

x_{1} = \frac{- ( - 46 ) + 2 929}{2 ( - 10 )}, x_{2} = \frac{- ( - 46 ) - 2 929}{2 ( - 10 )}

x = \frac{- ( - 46 ) + 2 929}{2 ( - 10 )} : - \frac{23 + 929}{10}

x = \frac{- ( - 46 ) - 2 929}{2 ( - 10 )} : \frac{929 - 23}{10}

二次方程组的解是:

x = - \frac{23 + 929}{10}, x = \frac{929 - 23}{10}

作图

流行的例子

- 12 x^{2} + 12 = 0

v^{2} - 9 v + 14 = 0

solvefor s,h(s)=-16s^2+80s

so l v e f or s, h (s) = - 16 s^{2} + 80 s

a = x^{2} - 18 x + 80

x^{2} + 8 x + 16 = 16