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受欢迎的代数 >

1000000=100000+1200x+200x^2

解答

1000000 = 100000 + 1200 x + 200 x^{2}

解答

x = \frac{- 1200 + 721440000}{400}, x = \frac{- 1200 - 721440000}{400}

+1

十进制

x = 64.14908 \dots, x = - 70.14908 \dots

求解步骤

1000000 = 100000 + 1200 x + 200 x^{2}

交换两边

100000 + 1200 x + 200 x^{2} = 1000000

将

1000000

para o lado esquerdo

200 x^{2} + 1200 x - 900000 = 0

使用求根公式求解

x_{1, 2} = \frac{- 1200 \pm 120 0 ^{2} - 4 \cdot 200 ( - 900000 )}{2 \cdot 200}

120 0^{2} - 4 \cdot 200 (- 900000) = 721440000

x_{1, 2} = \frac{- 1200 \pm 721440000}{2 \cdot 200}

将解分隔开

x_{1} = \frac{- 1200 + 721440000}{2 \cdot 200}, x_{2} = \frac{- 1200 - 721440000}{2 \cdot 200}

x = \frac{- 1200 + 721440000}{2 \cdot 200} : \frac{- 1200 + 721440000}{400}

x = \frac{- 1200 - 721440000}{2 \cdot 200} : \frac{- 1200 - 721440000}{400}

二次方程组的解是:

x = \frac{- 1200 + 721440000}{400}, x = \frac{- 1200 - 721440000}{400}

作图

流行的例子

solvefor x,x^2+y^2-2x+2=0

so l v e f or x, x^{2} + y^{2} - 2 x + 2 = 0

k^{2} + 16 k - 17 = 0

x^{2} = 6^{2} + 4^{2}

2.5*10^{-9}=(0.072-x)*(0.04-x)

2.5 \cdot 1 0^{- 9} = (0.072 - x) \cdot (0.04 - x)

solvefor x,x^2+2y^2+3=0

so l v e f or x, x^{2} + 2 y^{2} + 3 = 0