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受欢迎的代数 >

49x^2=70x-26

解答

49 x^{2} = 70 x - 26

解答

x = \frac{5}{7} + i \frac{1}{7}, x = \frac{5}{7} - i \frac{1}{7}

求解步骤

49 x^{2} = 70 x - 26

将

26

para o lado esquerdo

49 x^{2} + 26 = 70 x

将

70 x

para o lado esquerdo

49 x^{2} + 26 - 70 x = 0

改写成标准形式

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

49 x^{2} - 70 x + 26 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 70 ) \pm ( - 70 ) ^{2} - 4 \cdot 49 \cdot 26}{2 \cdot 49}

化简

(- 70)^{2} - 4 \cdot 49 \cdot 26 : 14 i

x_{1, 2} = \frac{- ( - 70 ) \pm 14 i}{2 \cdot 49}

将解分隔开

x_{1} = \frac{- ( - 70 ) + 14 i}{2 \cdot 49}, x_{2} = \frac{- ( - 70 ) - 14 i}{2 \cdot 49}

x = \frac{- ( - 70 ) + 14 i}{2 \cdot 49} : \frac{5}{7} + i \frac{1}{7}

x = \frac{- ( - 70 ) - 14 i}{2 \cdot 49} : \frac{5}{7} - i \frac{1}{7}

二次方程组的解是:

x = \frac{5}{7} + i \frac{1}{7}, x = \frac{5}{7} - i \frac{1}{7}

作图

流行的例子

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