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受欢迎的代数 >

x^2+11x=18.75

解答

x^{2} + 11 x = 18.75

解答

x = \frac{3}{2}, x = - \frac{25}{2}

+1

十进制

x = 1.5, x = - 12.5

求解步骤

x^{2} + 11 x = 18.75

在两边乘以

100

100 x^{2} + 1100 x = 1875

将

1875

para o lado esquerdo

100 x^{2} + 1100 x - 1875 = 0

使用求根公式求解

x_{1, 2} = \frac{- 1100 \pm 110 0 ^{2} - 4 \cdot 100 ( - 1875 )}{2 \cdot 100}

110 0^{2} - 4 \cdot 100 (- 1875) = 1400

x_{1, 2} = \frac{- 1100 \pm 1400}{2 \cdot 100}

将解分隔开

x_{1} = \frac{- 1100 + 1400}{2 \cdot 100}, x_{2} = \frac{- 1100 - 1400}{2 \cdot 100}

x = \frac{- 1100 + 1400}{2 \cdot 100} : \frac{3}{2}

x = \frac{- 1100 - 1400}{2 \cdot 100} : - \frac{25}{2}

二次方程组的解是:

x = \frac{3}{2}, x = - \frac{25}{2}

作图

流行的例子

2 (x + 1)^{2} - 17 = 27

m^{2} + m - 2 = 0

5 (x + 9)^{2} + 41 = 46

y^{2} = 576

- 11 x^{2} = x + 11