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受欢迎的代数 >

x^2+6=-10x

解答

x^{2} + 6 = - 10 x

解答

x = - 5 + 19, x = - 5 - 19

+1

十进制

x = - 0.64110 \dots, x = - 9.35889 \dots

求解步骤

x^{2} + 6 = - 10 x

将

10 x

para o lado esquerdo

x^{2} + 6 + 10 x = 0

改写成标准形式

a x^{2} + b x + c = 0

x^{2} + 10 x + 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot 6}{2 \cdot 1}

1 0^{2} - 4 \cdot 1 \cdot 6 = 219

x_{1, 2} = \frac{- 10 \pm 2 19}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 10 + 2 19}{2 \cdot 1}, x_{2} = \frac{- 10 - 2 19}{2 \cdot 1}

x = \frac{- 10 + 2 19}{2 \cdot 1} : - 5 + 19

x = \frac{- 10 - 2 19}{2 \cdot 1} : - 5 - 19

二次方程组的解是:

x = - 5 + 19, x = - 5 - 19

作图

流行的例子

3 x^{2} + 6 x - 189 = 0

2 x^{2} + 4 x - 70 = 0

2 y^{2} - 3 y = 0

(2 x - 5)^{2} = 42

b^{2} = 16