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受欢迎的代数 >

j(x)=-4x^2-2x+2

解答

j (x) = - 4 x^{2} - 2 x + 2

解答

x = - \frac{2 + j + j ^{2} + 4 j + 36}{8}, x = - \frac{2 + j - j ^{2} + 4 j + 36}{8}

求解步骤

j (x) = - 4 x^{2} - 2 x + 2

整理后得

j x = - 4 x^{2} - 2 x + 2

交换两边

- 4 x^{2} - 2 x + 2 = j x

将

j x

para o lado esquerdo

- 4 x^{2} - 2 x + 2 - j x = 0

改写成标准形式

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

- 4 x^{2} - (2 + j) x + 2 = 0

使用求根公式求解

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

化简

(- 2 - j)^{2} - 4 (- 4) \cdot 2 : j^{2} + 4 j + 36

x_{1, 2} = \frac{- ( - 2 - j ) \pm j ^{2} + 4 j + 36}{2 ( - 4 )}

将解分隔开

x_{1} = \frac{- ( - 2 - j ) + j ^{2} + 4 j + 36}{2 ( - 4 )}, x_{2} = \frac{- ( - 2 - j ) - j ^{2} + 4 j + 36}{2 ( - 4 )}

x = \frac{- ( - 2 - j ) + j ^{2} + 4 j + 36}{2 ( - 4 )} : - \frac{2 + j + j ^{2} + 4 j + 36}{8}

x = \frac{- ( - 2 - j ) - j ^{2} + 4 j + 36}{2 ( - 4 )} : - \frac{2 + j - j ^{2} + 4 j + 36}{8}

二次方程组的解是:

x = - \frac{2 + j + j ^{2} + 4 j + 36}{8}, x = - \frac{2 + j - j ^{2} + 4 j + 36}{8}

作图

流行的例子

x^{2} + x - 0.5 = 0

completesquare x^2-4x-21=0

co m pl e t es q u a re x^{2} - 4 x - 21 = 0

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solvefor x,2x^2-3xy+3y^2=50

so l v e f or x, 2 x^{2} - 3 x y + 3 y^{2} = 50

11 r + 15 = - 2 r^{2}