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受欢迎的代数 >

x^2+15=7x

解答

x^{2} + 15 = 7 x

解答

x = \frac{7}{2} + i \frac{11}{2}, x = \frac{7}{2} - i \frac{11}{2}

求解步骤

x^{2} + 15 = 7 x

将

7 x

para o lado esquerdo

x^{2} + 15 - 7 x = 0

改写成标准形式

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

x^{2} - 7 x + 15 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 1 \cdot 15}{2 \cdot 1}

化简

(- 7)^{2} - 4 \cdot 1 \cdot 15 : 11 i

x_{1, 2} = \frac{- ( - 7 ) \pm 11 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 7 ) + 11 i}{2 \cdot 1}, x_{2} = \frac{- ( - 7 ) - 11 i}{2 \cdot 1}

x = \frac{- ( - 7 ) + 11 i}{2 \cdot 1} : \frac{7}{2} + i \frac{11}{2}

x = \frac{- ( - 7 ) - 11 i}{2 \cdot 1} : \frac{7}{2} - i \frac{11}{2}

二次方程组的解是:

x = \frac{7}{2} + i \frac{11}{2}, x = \frac{7}{2} - i \frac{11}{2}

作图

流行的例子

(x + 5)^{2} = 10

10 x^{2} - 4 x - 17 = 6

(x + 3) (2 x - 5) = 0

7 x^{2} = 10 x - 3

2 x^{2} - 16 x + 82 = 0