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受欢迎的代数 >

-3x^2-107=36x-5

解答

- 3 x^{2} - 107 = 36 x - 5

解答

x = - 6 - 2, x = - 6 + 2

+1

十进制

x = - 7.41421 \dots, x = - 4.58578 \dots

求解步骤

- 3 x^{2} - 107 = 36 x - 5

将

5

para o lado esquerdo

- 3 x^{2} - 102 = 36 x

将

36 x

para o lado esquerdo

- 3 x^{2} - 102 - 36 x = 0

改写成标准形式

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

- 3 x^{2} - 36 x - 102 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 36 ) \pm ( - 36 ) ^{2} - 4 ( - 3 ) ( - 102 )}{2 ( - 3 )}

(- 36)^{2} - 4 (- 3) (- 102) = 62

x_{1, 2} = \frac{- ( - 36 ) \pm 6 2}{2 ( - 3 )}

将解分隔开

x_{1} = \frac{- ( - 36 ) + 6 2}{2 ( - 3 )}, x_{2} = \frac{- ( - 36 ) - 6 2}{2 ( - 3 )}

x = \frac{- ( - 36 ) + 6 2}{2 ( - 3 )} : - 6 - 2

x = \frac{- ( - 36 ) - 6 2}{2 ( - 3 )} : - 6 + 2

二次方程组的解是:

x = - 6 - 2, x = - 6 + 2

作图

流行的例子

(x+1)/(x-2)<= 0

\frac{x + 1}{x - 2} \leq 0

化简 (2i)/(6+2i)

s im pl i f y \frac{2 i}{6 + 2 i}

\frac{p}{8.7} = 2.4

因式分解-2pq-8p^2q+4pq^2

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化简 10sqrt(28)

s im pl i f y 1028