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受欢迎的代数 >

3(6x-5)-(6x-5)^2=0

解答

3 (6 x - 5) - (6 x - 5)^{2} = 0

解答

x = \frac{5}{6}, x = \frac{4}{3}

+1

十进制

x = 0.83333 \dots, x = 1.33333 \dots

求解步骤

3 (6 x - 5) - (6 x - 5)^{2} = 0

展开

3 (6 x - 5) - (6 x - 5)^{2} : - 36 x^{2} + 78 x - 40

- 36 x^{2} + 78 x - 40 = 0

使用求根公式求解

x_{1, 2} = \frac{- 78 \pm 7 8 ^{2} - 4 ( - 36 ) ( - 40 )}{2 ( - 36 )}

7 8^{2} - 4 (- 36) (- 40) = 18

x_{1, 2} = \frac{- 78 \pm 18}{2 ( - 36 )}

将解分隔开

x_{1} = \frac{- 78 + 18}{2 ( - 36 )}, x_{2} = \frac{- 78 - 18}{2 ( - 36 )}

x = \frac{- 78 + 18}{2 ( - 36 )} : \frac{5}{6}

x = \frac{- 78 - 18}{2 ( - 36 )} : \frac{4}{3}

二次方程组的解是:

x = \frac{5}{6}, x = \frac{4}{3}

作图

流行的例子

3 (x + 8)^{2} - 12 = 24

7 x^{2} - 18 x + 12 = 0

10x^2+30x-500=0

10 x^{2} + 30 x - 500 = 0

4 x^{2} + 16 x - 8 = 0

16 = 50 + 4 x + 2 x^{2}