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受欢迎的代数 >

solvefor x,f=3x^2-x+52f(-3)-f(4)

解答

求解

x, f = 3 x^{2} - x + 52 f (- 3) - f (4)

解答

x = \frac{1 + 1 - 12 ( 52 f ( - 3 ) - f ( 4 ) - f )}{6}, x = \frac{1 - 1 - 12 ( 52 f ( - 3 ) - f ( 4 ) - f )}{6}

求解步骤

f = 3 x^{2} - x + 52 f (- 3) - f (4)

交换两边

3 x^{2} - x + 52 f (- 3) - f (4) = f

将

f

para o lado esquerdo

3 x^{2} - x + 52 f (- 3) - f (4) - f = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 3 ( 52 f ( - 3 ) - f ( 4 ) - f )}{2 \cdot 3}

化简

(- 1)^{2} - 4 \cdot 3 (52 f (- 3) - f (4) - f) : 1 - 12 (52 f (- 3) - f (4) - f)

x_{1, 2} = \frac{- ( - 1 ) \pm 1 - 12 ( 52 f ( - 3 ) - f ( 4 ) - f )}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 1 ) + 1 - 12 ( 52 f ( - 3 ) - f ( 4 ) - f )}{2 \cdot 3}, x_{2} = \frac{- ( - 1 ) - 1 - 12 ( 52 f ( - 3 ) - f ( 4 ) - f )}{2 \cdot 3}

x = \frac{- ( - 1 ) + 1 - 12 ( 52 f ( - 3 ) - f ( 4 ) - f )}{2 \cdot 3} : \frac{1 + 1 - 12 ( 52 f ( - 3 ) - f ( 4 ) - f )}{6}

x = \frac{- ( - 1 ) - 1 - 12 ( 52 f ( - 3 ) - f ( 4 ) - f )}{2 \cdot 3} : \frac{1 - 1 - 12 ( 52 f ( - 3 ) - f ( 4 ) - f )}{6}

二次方程组的解是:

x = \frac{1 + 1 - 12 ( 52 f ( - 3 ) - f ( 4 ) - f )}{6}, x = \frac{1 - 1 - 12 ( 52 f ( - 3 ) - f ( 4 ) - f )}{6}

作图

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