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受欢迎的代数 >

7x-8=-3x^2

解答

7 x - 8 = - 3 x^{2}

解答

x = - \frac{7 + 145}{6}, x = \frac{145 - 7}{6}

+1

十进制

x = - 3.17359 \dots, x = 0.84026 \dots

求解步骤

7 x - 8 = - 3 x^{2}

交换两边

- 3 x^{2} = 7 x - 8

将

8

para o lado esquerdo

- 3 x^{2} + 8 = 7 x

将

7 x

para o lado esquerdo

- 3 x^{2} + 8 - 7 x = 0

改写成标准形式

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

- 3 x^{2} - 7 x + 8 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 ( - 3 ) \cdot 8}{2 ( - 3 )}

(- 7)^{2} - 4 (- 3) \cdot 8 = 145

x_{1, 2} = \frac{- ( - 7 ) \pm 145}{2 ( - 3 )}

将解分隔开

x_{1} = \frac{- ( - 7 ) + 145}{2 ( - 3 )}, x_{2} = \frac{- ( - 7 ) - 145}{2 ( - 3 )}

x = \frac{- ( - 7 ) + 145}{2 ( - 3 )} : - \frac{7 + 145}{6}

x = \frac{- ( - 7 ) - 145}{2 ( - 3 )} : \frac{145 - 7}{6}

二次方程组的解是:

x = - \frac{7 + 145}{6}, x = \frac{145 - 7}{6}

作图

流行的例子

15 x^{2} - x - 6 = 0

-3(3x+15)-(10+x)=35

- 3 (3 x + 15) - (10 + x) = 35

x^{2} - 1 = x^{2} - 1

因式分解 7t-6v^2+tv-42v

f a c t or 7 t - 6 v^{2} + t v - 42 v

因式分解 16m^2-40mn+25n^2

f a c t or 16 m^{2} - 40 mn + 25 n^{2}