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受欢迎的代数 >

2x^2-2000x+100000=0

解答

2 x^{2} - 2000 x + 100000 = 0

解答

x = 100 (5 + 25), x = 100 (5 - 25)

+1

十进制

x = 947.21359 \dots, x = 52.78640 \dots

求解步骤

2 x^{2} - 2000 x + 100000 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 2000 ) \pm ( - 2000 ) ^{2} - 4 \cdot 2 \cdot 100000}{2 \cdot 2}

(- 2000)^{2} - 4 \cdot 2 \cdot 100000 = 8005

x_{1, 2} = \frac{- ( - 2000 ) \pm 800 5}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 2000 ) + 800 5}{2 \cdot 2}, x_{2} = \frac{- ( - 2000 ) - 800 5}{2 \cdot 2}

x = \frac{- ( - 2000 ) + 800 5}{2 \cdot 2} : 100 (5 + 25)

x = \frac{- ( - 2000 ) - 800 5}{2 \cdot 2} : 100 (5 - 25)

二次方程组的解是:

x = 100 (5 + 25), x = 100 (5 - 25)

作图

流行的例子

16 x^{2} = 40 x - 25

5 x^{2} - 10 x - 4 = 0

x^{2} + 1 2^{2} = 1 8^{2}

2 (x - 3)^{2} - 40 = 0

completesquare-x^2+2x-3

co m pl e t es q u a re - x^{2} + 2 x - 3