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受欢迎的代数 >

-2(x-5)^2=(2x+1)^2-57

解答

- 2 (x - 5)^{2} = (2 x + 1)^{2} - 57

解答

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

+1

十进制

x = - 0.33333 \dots, x = 3

求解步骤

- 2 (x - 5)^{2} = (2 x + 1)^{2} - 57

展开

- 2 (x - 5)^{2} : - 2 x^{2} + 20 x - 50

展开

(2 x + 1)^{2} - 57 : 4 x^{2} + 4 x - 56

- 2 x^{2} + 20 x - 50 = 4 x^{2} + 4 x - 56

将

56

para o lado esquerdo

- 2 x^{2} + 20 x + 6 = 4 x^{2} + 4 x

将

4 x

para o lado esquerdo

- 2 x^{2} + 16 x + 6 = 4 x^{2}

将

4 x^{2}

para o lado esquerdo

- 6 x^{2} + 16 x + 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 ( - 6 ) \cdot 6}{2 ( - 6 )}

1 6^{2} - 4 (- 6) \cdot 6 = 20

x_{1, 2} = \frac{- 16 \pm 20}{2 ( - 6 )}

将解分隔开

x_{1} = \frac{- 16 + 20}{2 ( - 6 )}, x_{2} = \frac{- 16 - 20}{2 ( - 6 )}

x = \frac{- 16 + 20}{2 ( - 6 )} : - \frac{1}{3}

x = \frac{- 16 - 20}{2 ( - 6 )} : 3

二次方程组的解是:

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

作图

流行的例子

因式分解 x^2+x-2=0

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

- 16 t^{2} + 700 = 0

9 x^{2} + 6 x = 0

12x^2-192x+527=0

12 x^{2} - 192 x + 527 = 0

5 v^{2} + 17 v + 5 = 6 v