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受欢迎的代数 >

2x^2=10x-25

解答

2 x^{2} = 10 x - 25

解答

x = \frac{5}{2} + i \frac{5}{2}, x = \frac{5}{2} - i \frac{5}{2}

求解步骤

2 x^{2} = 10 x - 25

将

25

para o lado esquerdo

2 x^{2} + 25 = 10 x

将

10 x

para o lado esquerdo

2 x^{2} + 25 - 10 x = 0

改写成标准形式

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

2 x^{2} - 10 x + 25 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 2 \cdot 25}{2 \cdot 2}

化简

(- 10)^{2} - 4 \cdot 2 \cdot 25 : 10 i

x_{1, 2} = \frac{- ( - 10 ) \pm 10 i}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 10 ) + 10 i}{2 \cdot 2}, x_{2} = \frac{- ( - 10 ) - 10 i}{2 \cdot 2}

x = \frac{- ( - 10 ) + 10 i}{2 \cdot 2} : \frac{5}{2} + i \frac{5}{2}

x = \frac{- ( - 10 ) - 10 i}{2 \cdot 2} : \frac{5}{2} - i \frac{5}{2}

二次方程组的解是:

x = \frac{5}{2} + i \frac{5}{2}, x = \frac{5}{2} - i \frac{5}{2}

作图

流行的例子

x^2-(k+2)x+k+1=0

x^{2} - (k + 2) x + k + 1 = 0

(x - 13)^{2} = 400

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

-6.4X^2+128X-546.67=0

- 6.4 X^{2} + 128 X - 546.67 = 0

2 t^{2} - 7 t = 12