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受欢迎的代数 >

12x+3=-4x^2+20

解答

12 x + 3 = - 4 x^{2} + 20

解答

x = - \frac{3 + 26}{2}, x = \frac{26 - 3}{2}

+1

十进制

x = - 4.04950 \dots, x = 1.04950 \dots

求解步骤

12 x + 3 = - 4 x^{2} + 20

交换两边

- 4 x^{2} + 20 = 12 x + 3

将

3

para o lado esquerdo

- 4 x^{2} + 17 = 12 x

将

12 x

para o lado esquerdo

- 4 x^{2} + 17 - 12 x = 0

改写成标准形式

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

- 4 x^{2} - 12 x + 17 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 ( - 4 ) \cdot 17}{2 ( - 4 )}

(- 12)^{2} - 4 (- 4) \cdot 17 = 426

x_{1, 2} = \frac{- ( - 12 ) \pm 4 26}{2 ( - 4 )}

将解分隔开

x_{1} = \frac{- ( - 12 ) + 4 26}{2 ( - 4 )}, x_{2} = \frac{- ( - 12 ) - 4 26}{2 ( - 4 )}

x = \frac{- ( - 12 ) + 4 26}{2 ( - 4 )} : - \frac{3 + 26}{2}

x = \frac{- ( - 12 ) - 4 26}{2 ( - 4 )} : \frac{26 - 3}{2}

二次方程组的解是:

x = - \frac{3 + 26}{2}, x = \frac{26 - 3}{2}

作图

流行的例子

(x+3)2=8(x-2)+x^2

(x + 3) 2 = 8 (x - 2) + x^{2}

x^{2} + 13 x + 24 = 0

2 b^{2} + 40 = 0

(\frac{5}{13})^{2} + x^{2} = 1

因式分解 6s^2+18s=0

f a c t or 6 s^{2} + 18 s = 0