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受欢迎的代数 >

-2a^2+2a+3=0

解答

- 2 a^{2} + 2 a + 3 = 0

解答

a = - \frac{- 1 + 7}{2}, a = \frac{1 + 7}{2}

+1

十进制

a = - 0.82287 \dots, a = 1.82287 \dots

求解步骤

- 2 a^{2} + 2 a + 3 = 0

使用求根公式求解

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

2^{2} - 4 (- 2) \cdot 3 = 27

a_{1, 2} = \frac{- 2 \pm 2 7}{2 ( - 2 )}

将解分隔开

a_{1} = \frac{- 2 + 2 7}{2 ( - 2 )}, a_{2} = \frac{- 2 - 2 7}{2 ( - 2 )}

a = \frac{- 2 + 2 7}{2 ( - 2 )} : - \frac{- 1 + 7}{2}

a = \frac{- 2 - 2 7}{2 ( - 2 )} : \frac{1 + 7}{2}

二次方程组的解是:

a = - \frac{- 1 + 7}{2}, a = \frac{1 + 7}{2}

作图

流行的例子

因式分解 2x^2+16x+14=0

f a c t or 2 x^{2} + 16 x + 14 = 0

4 t^{2} - 5 t + 1 = 0

0 = x^{2} + 4 x - 9

x^2-3/5 x=-11/3

x^{2} - \frac{3}{5} x = - \frac{11}{3}

6b^2-24b+16=-3b^2

6 b^{2} - 24 b + 16 = - 3 b^{2}