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受欢迎的代数 >

X^2+2X+2=0

解答

X^{2} + 2 X + 2 = 0

解答

X = - 1 + i, X = - 1 - i

求解步骤

X^{2} + 2 X + 2 = 0

使用求根公式求解

X_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 1 \cdot 2}{2 \cdot 1}

化简

2^{2} - 4 \cdot 1 \cdot 2 : 2 i

X_{1, 2} = \frac{- 2 \pm 2 i}{2 \cdot 1}

将解分隔开

X_{1} = \frac{- 2 + 2 i}{2 \cdot 1}, X_{2} = \frac{- 2 - 2 i}{2 \cdot 1}

X = \frac{- 2 + 2 i}{2 \cdot 1} : - 1 + i

X = \frac{- 2 - 2 i}{2 \cdot 1} : - 1 - i

二次方程组的解是:

X = - 1 + i, X = - 1 - i

作图

流行的例子

completesquare x^2+7x+10=0

co m pl e t es q u a re x^{2} + 7 x + 10 = 0

solvefor x,((x^2+y^3))/y-4x^2y=4

so l v e f or x, \frac{( x ^{2} + y ^{3} )}{y} - 4 x^{2} y = 4

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

-5-7+1x-3-1x^2+6x^2=-5x+4x+4x^2

- 5 - 7 + 1 x - 3 - 1 x^{2} + 6 x^{2} = - 5 x + 4 x + 4 x^{2}

k^{2} + 4 = 0