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受欢迎的微积分 >

d(x)=x^2+2x-25

解答

d (x) = x^{2} + 2 x - 25

解答

x = \frac{- 2 + d + d ^{2} - 4 d + 104}{2}, x = \frac{- 2 + d - d ^{2} - 4 d + 104}{2}

求解步骤

d (x) = x^{2} + 2 x - 25

整理后得

d x = x^{2} + 2 x - 25

交换两边

x^{2} + 2 x - 25 = d x

将

d x

para o lado esquerdo

x^{2} + 2 x - 25 - d x = 0

改写成标准形式

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

x^{2} + (2 - d) x - 25 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( 2 - d ) \pm ( 2 - d ) ^{2} - 4 \cdot 1 \cdot ( - 25 )}{2 \cdot 1}

化简

(2 - d)^{2} - 4 \cdot 1 \cdot (- 25) : d^{2} - 4 d + 104

x_{1, 2} = \frac{- ( 2 - d ) \pm d ^{2} - 4 d + 104}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( 2 - d ) + d ^{2} - 4 d + 104}{2 \cdot 1}, x_{2} = \frac{- ( 2 - d ) - d ^{2} - 4 d + 104}{2 \cdot 1}

x = \frac{- ( 2 - d ) + d ^{2} - 4 d + 104}{2 \cdot 1} : \frac{- 2 + d + d ^{2} - 4 d + 104}{2}

x = \frac{- ( 2 - d ) - d ^{2} - 4 d + 104}{2 \cdot 1} : \frac{- 2 + d - d ^{2} - 4 d + 104}{2}

二次方程组的解是:

x = \frac{- 2 + d + d ^{2} - 4 d + 104}{2}, x = \frac{- 2 + d - d ^{2} - 4 d + 104}{2}

作图

流行的例子

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y^{^{''}} - 2 y^{^{'}} + y = 3 cos (2 x)

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