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受欢迎的代数 >

3x=-x^2+7

解答

3 x = - x^{2} + 7

解答

x = - \frac{3 + 37}{2}, x = \frac{37 - 3}{2}

+1

十进制

x = - 4.54138 \dots, x = 1.54138 \dots

求解步骤

3 x = - x^{2} + 7

交换两边

- x^{2} + 7 = 3 x

将

3 x

para o lado esquerdo

- x^{2} + 7 - 3 x = 0

改写成标准形式

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

- x^{2} - 3 x + 7 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 ( - 1 ) \cdot 7}{2 ( - 1 )}

(- 3)^{2} - 4 (- 1) \cdot 7 = 37

x_{1, 2} = \frac{- ( - 3 ) \pm 37}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- ( - 3 ) + 37}{2 ( - 1 )}, x_{2} = \frac{- ( - 3 ) - 37}{2 ( - 1 )}

x = \frac{- ( - 3 ) + 37}{2 ( - 1 )} : - \frac{3 + 37}{2}

x = \frac{- ( - 3 ) - 37}{2 ( - 1 )} : \frac{37 - 3}{2}

二次方程组的解是:

x = - \frac{3 + 37}{2}, x = \frac{37 - 3}{2}

作图

流行的例子

(2x+1)(2x-3)+x=(x-5)^2-22

(2 x + 1) (2 x - 3) + x = (x - 5)^{2} - 22

1.5 x - 0.12 x^{2} = 0

6k^2+7k-11=5k^2

6 k^{2} + 7 k - 11 = 5 k^{2}

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