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受欢迎的代数 >

(x-5/7)^2+(x-(-7/6))^2=(4/49)^2

解答

(x - \frac{5}{7})^{2} + (x - (- \frac{7}{6}))^{2} = (\frac{4}{49})^{2}

解答

x = - \frac{19}{84} + i \frac{304657}{588}, x = - \frac{19}{84} - i \frac{304657}{588}

求解步骤

(x - \frac{5}{7})^{2} + (x - (- \frac{7}{6}))^{2} = (\frac{4}{49})^{2}

展开

(x - \frac{5}{7})^{2} + (x - (- \frac{7}{6}))^{2} : \frac{3301}{1764} + \frac{19}{21} x + 2 x^{2}

展开

(\frac{4}{49})^{2} : \frac{16}{2401}

\frac{3301}{1764} + \frac{19}{21} x + 2 x^{2} = \frac{16}{2401}

将

\frac{16}{2401}

para o lado esquerdo

\frac{161173}{86436} + \frac{19}{21} x + 2 x^{2} = 0

改写成标准形式

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

2 x^{2} + \frac{19 x}{21} + \frac{161173}{86436} = 0

使用求根公式求解

x_{1, 2} = \frac{- \frac{19}{21} \pm ( \frac{19}{21} ) ^{2} - 4 \cdot 2 \cdot \frac{161173}{86436}}{2 \cdot 2}

化简

(\frac{19}{21})^{2} - 4 \cdot 2 \cdot \frac{161173}{86436} : i \frac{304657}{147}

x_{1, 2} = \frac{- \frac{19}{21} \pm i \frac{304657}{147}}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- \frac{19}{21} + i \frac{304657}{147}}{2 \cdot 2}, x_{2} = \frac{- \frac{19}{21} - i \frac{304657}{147}}{2 \cdot 2}

x = \frac{- \frac{19}{21} + i \frac{304657}{147}}{2 \cdot 2} : - \frac{19}{84} + i \frac{304657}{588}

x = \frac{- \frac{19}{21} - i \frac{304657}{147}}{2 \cdot 2} : - \frac{19}{84} - i \frac{304657}{588}

二次方程组的解是:

x = - \frac{19}{84} + i \frac{304657}{588}, x = - \frac{19}{84} - i \frac{304657}{588}

作图

流行的例子

化简 (25)^{-3/2}

s im pl i f y (25)^{- \frac{3}{2}}

x/2-(2x)/3 <(5x)/9-1

\frac{x}{2} - \frac{2 x}{3} < \frac{5 x}{9} - 1

\frac{x - 4}{x + 5} < 4

5 x^{2} + 10 x - 3 = 0

2 x^{2} - 8 x + 3 = 0