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受欢迎的代数 >

c=3100-c^2

解答

c = 3100 - c^{2}

解答

c = - \frac{1 + 12401}{2}, c = \frac{12401 - 1}{2}

+1

十进制

c = - 56.17988 \dots, c = 55.17988 \dots

求解步骤

c = 3100 - c^{2}

交换两边

3100 - c^{2} = c

将

c

para o lado esquerdo

3100 - c^{2} - c = 0

改写成标准形式

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

- c^{2} - c + 3100 = 0

使用求根公式求解

c_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 ( - 1 ) \cdot 3100}{2 ( - 1 )}

(- 1)^{2} - 4 (- 1) \cdot 3100 = 12401

c_{1, 2} = \frac{- ( - 1 ) \pm 12401}{2 ( - 1 )}

将解分隔开

c_{1} = \frac{- ( - 1 ) + 12401}{2 ( - 1 )}, c_{2} = \frac{- ( - 1 ) - 12401}{2 ( - 1 )}

c = \frac{- ( - 1 ) + 12401}{2 ( - 1 )} : - \frac{1 + 12401}{2}

c = \frac{- ( - 1 ) - 12401}{2 ( - 1 )} : \frac{12401 - 1}{2}

二次方程组的解是:

c = - \frac{1 + 12401}{2}, c = \frac{12401 - 1}{2}

作图

流行的例子

-4.9x^2+10x+20=0

- 4.9 x^{2} + 10 x + 20 = 0

completesquare 5x^2+3x-4

co m pl e t es q u a re 5 x^{2} + 3 x - 4

completesquare x^2+10

co m pl e t es q u a re x^{2} + 10

17 = b^{2}

- 10 x^{2} - 7 x + 12 = 0