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受欢迎的代数 >

solvefor x,1f=(6x^2+7x)^4

解答

求解

x, 1 f = (6 x^{2} + 7 x)^{4}

解答

x = \frac{- 7 + 49 + 24 4 f}{12}, x = \frac{- 7 - 49 + 24 4 f}{12}, x = \frac{- 7 + 49 - 24 4 f}{12}, x = \frac{- 7 - 49 - 24 4 f}{12}

求解步骤

1 \cdot f = (6 x^{2} + 7 x)^{4}

交换两边

(6 x^{2} + 7 x)^{4} = 1 \cdot f

乘以:

1 \cdot f = f

(6 x^{2} + 7 x)^{4} = f

对于

(g (x))^{n} = f (a)

，n 为偶数，解为

g (x) = n f (a), - n f (a)

解

6 x^{2} + 7 x = 4 f : x = \frac{- 7 + 49 + 24 4 f}{12}, x = \frac{- 7 - 49 + 24 4 f}{12}

解

6 x^{2} + 7 x = - 4 f : x = \frac{- 7 + 49 - 24 4 f}{12}, x = \frac{- 7 - 49 - 24 4 f}{12}

解为

x = \frac{- 7 + 49 + 24 4 f}{12}, x = \frac{- 7 - 49 + 24 4 f}{12}, x = \frac{- 7 + 49 - 24 4 f}{12}, x = \frac{- 7 - 49 - 24 4 f}{12}

作图

流行的例子

x^{5} = 1.96

4y^4+8y^2-225=0

4 y^{4} + 8 y^{2} - 225 = 0

5000=375x+0.1x^3

5000 = 375 x + 0.1 x^{3}

x^{5} - 1 = 31

1 + x^{4} - x^{8} = 0