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受欢迎的代数 >

4x(9-3x)=8x-1

解答

4 x (9 - 3 x) = 8 x - 1

解答

x = - \frac{- 7 + 2 13}{6}, x = \frac{7 + 2 13}{6}

+1

十进制

x = - 0.03518 \dots, x = 2.36851 \dots

求解步骤

4 x (9 - 3 x) = 8 x - 1

展开

4 x (9 - 3 x) : 36 x - 12 x^{2}

36 x - 12 x^{2} = 8 x - 1

将

1

para o lado esquerdo

36 x - 12 x^{2} + 1 = 8 x

将

8 x

para o lado esquerdo

- 12 x^{2} + 28 x + 1 = 0

使用求根公式求解

x_{1, 2} = \frac{- 28 \pm 2 8 ^{2} - 4 ( - 12 ) \cdot 1}{2 ( - 12 )}

2 8^{2} - 4 (- 12) \cdot 1 = 813

x_{1, 2} = \frac{- 28 \pm 8 13}{2 ( - 12 )}

将解分隔开

x_{1} = \frac{- 28 + 8 13}{2 ( - 12 )}, x_{2} = \frac{- 28 - 8 13}{2 ( - 12 )}

x = \frac{- 28 + 8 13}{2 ( - 12 )} : - \frac{- 7 + 2 13}{6}

x = \frac{- 28 - 8 13}{2 ( - 12 )} : \frac{7 + 2 13}{6}

二次方程组的解是:

x = - \frac{- 7 + 2 13}{6}, x = \frac{7 + 2 13}{6}

作图

流行的例子

x^2-5/6 x+1/6 =0

x^{2} - \frac{5}{6} x + \frac{1}{6} = 0

化简 sqrt(1058)

s im pl i f y 1058

m^{2} + 2 m = 8

化简 ln(sqrt(e))

s im pl i f y ln (e)

2(x-6)^2-5>= 37

2 (x - 6)^{2} - 5 \geq 37