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受欢迎的代数 >

2x+7=-x^2

解答

2 x + 7 = - x^{2}

解答

x = - 1 - 6 i, x = - 1 + 6 i

求解步骤

2 x + 7 = - x^{2}

交换两边

- x^{2} = 2 x + 7

将

7

para o lado esquerdo

- x^{2} - 7 = 2 x

将

2 x

para o lado esquerdo

- x^{2} - 7 - 2 x = 0

改写成标准形式

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

- x^{2} - 2 x - 7 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 ( - 1 ) ( - 7 )}{2 ( - 1 )}

化简

(- 2)^{2} - 4 (- 1) (- 7) : 26 i

x_{1, 2} = \frac{- ( - 2 ) \pm 2 6 i}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- ( - 2 ) + 2 6 i}{2 ( - 1 )}, x_{2} = \frac{- ( - 2 ) - 2 6 i}{2 ( - 1 )}

x = \frac{- ( - 2 ) + 2 6 i}{2 ( - 1 )} : - 1 - 6 i

x = \frac{- ( - 2 ) - 2 6 i}{2 ( - 1 )} : - 1 + 6 i

二次方程组的解是:

x = - 1 - 6 i, x = - 1 + 6 i

作图

流行的例子

9 x^{2} + 12 = 0

-0.3x^2-3.5x+20=0

- 0.3 x^{2} - 3.5 x + 20 = 0

completesquare-y^2-2y

co m pl e t es q u a re - y^{2} - 2 y

6750000=100x-0.0001x^2

6750000 = 100 x - 0.0001 x^{2}

solvefor x,100^2+130^2=x^2

so l v e f or x, 10 0^{2} + 13 0^{2} = x^{2}