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受欢迎的代数 >

-3x^2+8x+3=0

解答

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

解答

x = - \frac{1}{3}, x = 3

+1

十进制

x = - 0.33333 \dots, x = 3

求解步骤

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

使用求根公式求解

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

8^{2} - 4 (- 3) \cdot 3 = 10

x_{1, 2} = \frac{- 8 \pm 10}{2 ( - 3 )}

将解分隔开

x_{1} = \frac{- 8 + 10}{2 ( - 3 )}, x_{2} = \frac{- 8 - 10}{2 ( - 3 )}

x = \frac{- 8 + 10}{2 ( - 3 )} : - \frac{1}{3}

x = \frac{- 8 - 10}{2 ( - 3 )} : 3

二次方程组的解是:

x = - \frac{1}{3}, x = 3

作图

流行的例子

2 x^{2} - 7 x = - 12

1 = 6 x^{2} + 5 x

5=-0.01q^2-0.4q+10

5 = - 0.01 q^{2} - 0.4 q + 10

x^{2} + 49 = 85

(2x-3)^2=(x-5)^2+(2x+3)(2x-7)

(2 x - 3)^{2} = (x - 5)^{2} + (2 x + 3) (2 x - 7)