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受欢迎的代数 >

2x^2+20x=-10

解答

2 x^{2} + 20 x = - 10

解答

x = - 5 + 25, x = - 5 - 25

+1

十进制

x = - 0.52786 \dots, x = - 9.47213 \dots

求解步骤

2 x^{2} + 20 x = - 10

将

10

para o lado esquerdo

2 x^{2} + 20 x + 10 = 0

使用求根公式求解

x_{1, 2} = \frac{- 20 \pm 2 0 ^{2} - 4 \cdot 2 \cdot 10}{2 \cdot 2}

2 0^{2} - 4 \cdot 2 \cdot 10 = 85

x_{1, 2} = \frac{- 20 \pm 8 5}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- 20 + 8 5}{2 \cdot 2}, x_{2} = \frac{- 20 - 8 5}{2 \cdot 2}

x = \frac{- 20 + 8 5}{2 \cdot 2} : - 5 + 25

x = \frac{- 20 - 8 5}{2 \cdot 2} : - 5 - 25

二次方程组的解是:

x = - 5 + 25, x = - 5 - 25

作图

流行的例子

n^{2} = - 144

4 x^{2} - 4 x = - 5

x^{2} - 18 x + 81 = 49

2(x+10)^2-37=13

2 (x + 10)^{2} - 37 = 13

x^{2} - 72 = 0