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受欢迎的代数 >

d^{0.4}x(x-1)-3(x^2-5)-x^2=(x-3)-(x+4)

解答

d^{0.4} x (x - 1) - 3 (x^{2} - 5) - x^{2} = (x - 3) - (x + 4)

解答

x = \frac{d ^{0.4} + d ^{0.8} - 88 ( d ^{0.4} - 4 )}{2 ( d ^{0.4} - 4 )}, x = \frac{d ^{0.4} - d ^{0.8} - 88 ( d ^{0.4} - 4 )}{2 ( d ^{0.4} - 4 )}; d \neq = 1024, d \neq = - 1024

求解步骤

d^{0.4} x (x - 1) - 3 (x^{2} - 5) - x^{2} = (x - 3) - (x + 4)

展开

d^{0.4} x (x - 1) - 3 (x^{2} - 5) - x^{2} : d^{0.4} x^{2} - 4 x^{2} - d^{0.4} x + 15

展开

(x - 3) - (x + 4) : - 7

d^{0.4} x^{2} - 4 x^{2} - d^{0.4} x + 15 = - 7

将

7

para o lado esquerdo

d^{0.4} x^{2} - 4 x^{2} - d^{0.4} x + 22 = 0

改写成标准形式

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

(d^{0.4} - 4) x^{2} - d^{0.4} x + 22 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - d ^{0.4} ) \pm ( - d ^{0.4} ) ^{2} - 4 ( d ^{0.4} - 4 ) \cdot 22}{2 ( d ^{0.4} - 4 )}

化简

(- d^{0.4})^{2} - 4 (d^{0.4} - 4) \cdot 22 : d^{0.8} - 88 (d^{0.4} - 4)

x_{1, 2} = \frac{- ( - d ^{0.4} ) \pm d ^{0.8} - 88 ( d ^{0.4} - 4 )}{2 ( d ^{0.4} - 4 )}; d \neq = 1024, d \neq = - 1024

将解分隔开

x_{1} = \frac{- ( - d ^{0.4} ) + d ^{0.8} - 88 ( d ^{0.4} - 4 )}{2 ( d ^{0.4} - 4 )}, x_{2} = \frac{- ( - d ^{0.4} ) - d ^{0.8} - 88 ( d ^{0.4} - 4 )}{2 ( d ^{0.4} - 4 )}

x = \frac{- ( - d ^{0.4} ) + d ^{0.8} - 88 ( d ^{0.4} - 4 )}{2 ( d ^{0.4} - 4 )} : \frac{d ^{0.4} + d ^{0.8} - 88 ( d ^{0.4} - 4 )}{2 ( d ^{0.4} - 4 )}

x = \frac{- ( - d ^{0.4} ) - d ^{0.8} - 88 ( d ^{0.4} - 4 )}{2 ( d ^{0.4} - 4 )} : \frac{d ^{0.4} - d ^{0.8} - 88 ( d ^{0.4} - 4 )}{2 ( d ^{0.4} - 4 )}

二次方程组的解是:

x = \frac{d ^{0.4} + d ^{0.8} - 88 ( d ^{0.4} - 4 )}{2 ( d ^{0.4} - 4 )}, x = \frac{d ^{0.4} - d ^{0.8} - 88 ( d ^{0.4} - 4 )}{2 ( d ^{0.4} - 4 )}; d \neq = 1024, d \neq = - 1024

作图

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