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受欢迎的代数 >

x^2+7x+49/4 =4

解答

x^{2} + 7 x + \frac{49}{4} = 4

解答

x = - \frac{3}{2}, x = - \frac{11}{2}

+1

十进制

x = - 1.5, x = - 5.5

求解步骤

x^{2} + 7 x + \frac{49}{4} = 4

在两边乘以

4

4 x^{2} + 28 x + 49 = 16

将

16

para o lado esquerdo

4 x^{2} + 28 x + 33 = 0

使用求根公式求解

x_{1, 2} = \frac{- 28 \pm 2 8 ^{2} - 4 \cdot 4 \cdot 33}{2 \cdot 4}

2 8^{2} - 4 \cdot 4 \cdot 33 = 16

x_{1, 2} = \frac{- 28 \pm 16}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- 28 + 16}{2 \cdot 4}, x_{2} = \frac{- 28 - 16}{2 \cdot 4}

x = \frac{- 28 + 16}{2 \cdot 4} : - \frac{3}{2}

x = \frac{- 28 - 16}{2 \cdot 4} : - \frac{11}{2}

二次方程组的解是:

x = - \frac{3}{2}, x = - \frac{11}{2}

作图

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