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受欢迎的代数 >

x^2+60x+1000=0

解答

x^{2} + 60 x + 1000 = 0

解答

x = - 30 + 10 i, x = - 30 - 10 i

求解步骤

x^{2} + 60 x + 1000 = 0

使用求根公式求解

x_{1, 2} = \frac{- 60 \pm 6 0 ^{2} - 4 \cdot 1 \cdot 1000}{2 \cdot 1}

化简

6 0^{2} - 4 \cdot 1 \cdot 1000 : 20 i

x_{1, 2} = \frac{- 60 \pm 20 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 60 + 20 i}{2 \cdot 1}, x_{2} = \frac{- 60 - 20 i}{2 \cdot 1}

x = \frac{- 60 + 20 i}{2 \cdot 1} : - 30 + 10 i

x = \frac{- 60 - 20 i}{2 \cdot 1} : - 30 - 10 i

二次方程组的解是:

x = - 30 + 10 i, x = - 30 - 10 i

作图

流行的例子

3x^2-13x-5=4x+1

3 x^{2} - 13 x - 5 = 4 x + 1

1-0.4x+0.04x^2=0

1 - 0.4 x + 0.04 x^{2} = 0

(x + 3)^{2} + 2 = 0

144 x^{2} = 25

solvefor x,y^2+4x^2=0

so l v e f or x, y^{2} + 4 x^{2} = 0