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受欢迎的代数 >

1-8x=4x^2

解答

1 - 8 x = 4 x^{2}

解答

x = \frac{- 2 + 5}{2}, x = - \frac{2 + 5}{2}

+1

十进制

x = 0.11803 \dots, x = - 2.11803 \dots

求解步骤

1 - 8 x = 4 x^{2}

交换两边

4 x^{2} = 1 - 8 x

将

8 x

para o lado esquerdo

4 x^{2} + 8 x = 1

将

1

para o lado esquerdo

4 x^{2} + 8 x - 1 = 0

使用求根公式求解

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

8^{2} - 4 \cdot 4 (- 1) = 45

x_{1, 2} = \frac{- 8 \pm 4 5}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- 8 + 4 5}{2 \cdot 4}, x_{2} = \frac{- 8 - 4 5}{2 \cdot 4}

x = \frac{- 8 + 4 5}{2 \cdot 4} : \frac{- 2 + 5}{2}

x = \frac{- 8 - 4 5}{2 \cdot 4} : - \frac{2 + 5}{2}

二次方程组的解是:

x = \frac{- 2 + 5}{2}, x = - \frac{2 + 5}{2}

作图

流行的例子

2 x^{2} + 5 = - 3 x

solvefor x,x^2y-y-1=0

so l v e f or x, x^{2} y - y - 1 = 0

x^{2} + 2 x - 76 = 4

(x-3)^2=2x(x-4)-15

(x - 3)^{2} = 2 x (x - 4) - 15

3(5x^2-3x+2)=2(3x^2-x+3)

3 (5 x^{2} - 3 x + 2) = 2 (3 x^{2} - x + 3)