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受欢迎的代数 >

3x^2-16x+8=0

解答

3 x^{2} - 16 x + 8 = 0

解答

x = \frac{2 ( 4 + 10 )}{3}, x = \frac{2 ( 4 - 10 )}{3}

+1

十进制

x = 4.77485 \dots, x = 0.55848 \dots

求解步骤

3 x^{2} - 16 x + 8 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 3 \cdot 8}{2 \cdot 3}

(- 16)^{2} - 4 \cdot 3 \cdot 8 = 410

x_{1, 2} = \frac{- ( - 16 ) \pm 4 10}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 16 ) + 4 10}{2 \cdot 3}, x_{2} = \frac{- ( - 16 ) - 4 10}{2 \cdot 3}

x = \frac{- ( - 16 ) + 4 10}{2 \cdot 3} : \frac{2 ( 4 + 10 )}{3}

x = \frac{- ( - 16 ) - 4 10}{2 \cdot 3} : \frac{2 ( 4 - 10 )}{3}

二次方程组的解是:

x = \frac{2 ( 4 + 10 )}{3}, x = \frac{2 ( 4 - 10 )}{3}

作图

流行的例子

\frac{3 x + 4}{2} = 8

2x+(sqrt(2))+3=2

2 x + (2) + 3 = 2

0.4(2x+8)-0.4=0.2(4x-12)+6x

0.4 (2 x + 8) - 0.4 = 0.2 (4 x - 12) + 6 x

(x - 3) (x + 8) = 0

- 8 x + 4 = 36