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受欢迎的代数 >

(x-1)^2+(x+4)^2=5

解答

(x - 1)^{2} + (x + 4)^{2} = 5

解答

x = - \frac{3}{2} + i \frac{15}{2}, x = - \frac{3}{2} - i \frac{15}{2}

求解步骤

(x - 1)^{2} + (x + 4)^{2} = 5

展开

(x - 1)^{2} + (x + 4)^{2} : 2 x^{2} + 6 x + 17

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

将

5

para o lado esquerdo

2 x^{2} + 6 x + 12 = 0

使用求根公式求解

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 2 \cdot 12}{2 \cdot 2}

化简

6^{2} - 4 \cdot 2 \cdot 12 : 215 i

x_{1, 2} = \frac{- 6 \pm 2 15 i}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- 6 + 2 15 i}{2 \cdot 2}, x_{2} = \frac{- 6 - 2 15 i}{2 \cdot 2}

x = \frac{- 6 + 2 15 i}{2 \cdot 2} : - \frac{3}{2} + i \frac{15}{2}

x = \frac{- 6 - 2 15 i}{2 \cdot 2} : - \frac{3}{2} - i \frac{15}{2}

二次方程组的解是:

x = - \frac{3}{2} + i \frac{15}{2}, x = - \frac{3}{2} - i \frac{15}{2}

作图

流行的例子

因式分解 x^2=12x-36

f a c t or x^{2} = 12 x - 36

1 6^{2} + 6 3^{2} = c^{2}

9 x^{2} + 18 x + 17 = 0

- 2 x^{2} = 5 x + 2

(x+20)(x+4)=8x-1

(x + 20) (x + 4) = 8 x - 1