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受欢迎的代数 >

b^8=x^2+4x+b

解答

b^{8} = x^{2} + 4 x + b

解答

x = - 2 + - b (- b^{7} + 1) + 4, x = - - b (- b^{7} + 1) + 4 - 2

求解步骤

b^{8} = x^{2} + 4 x + b

交换两边

x^{2} + 4 x + b = b^{8}

将

b^{8}

para o lado esquerdo

x^{2} + 4 x + b - b^{8} = 0

使用求根公式求解

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 1 \cdot ( b - b ^{8} )}{2 \cdot 1}

化简

4^{2} - 4 \cdot 1 \cdot (b - b^{8}) : 2 4 - b (- b^{7} + 1)

x_{1, 2} = \frac{- 4 \pm 2 4 - b ( - b ^{7} + 1 )}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 4 + 2 4 - b ( - b ^{7} + 1 )}{2 \cdot 1}, x_{2} = \frac{- 4 - 2 4 - b ( - b ^{7} + 1 )}{2 \cdot 1}

x = \frac{- 4 + 2 4 - b ( - b ^{7} + 1 )}{2 \cdot 1} : - 2 + - b (- b^{7} + 1) + 4

x = \frac{- 4 - 2 4 - b ( - b ^{7} + 1 )}{2 \cdot 1} : - - b (- b^{7} + 1) + 4 - 2

二次方程组的解是:

x = - 2 + - b (- b^{7} + 1) + 4, x = - - b (- b^{7} + 1) + 4 - 2

作图

流行的例子

(1/2-x)(-1/2-x)=0

(\frac{1}{2} - x) (- \frac{1}{2} - x) = 0

solvefor x,x^2=e^y

so l v e f or x, x^{2} = e^{y}

solvefor x,x^2-9x-22=0

so l v e f or x, x^{2} - 9 x - 22 = 0

-2s^2-60s-310=0

- 2 s^{2} - 60 s - 310 = 0

0=-16t^2+84t+140

0 = - 16 t^{2} + 84 t + 140