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受欢迎的代数 >

2(x-3)(4x-1)=(4x-6)^2-4(6+x)

解答

2 (x - 3) (4 x - 1) = (4 x - 6)^{2} - 4 (6 + x)

解答

x = \frac{1}{4}, x = 3

+1

十进制

x = 0.25, x = 3

求解步骤

2 (x - 3) (4 x - 1) = (4 x - 6)^{2} - 4 (6 + x)

展开

2 (x - 3) (4 x - 1) : 8 x^{2} - 26 x + 6

展开

(4 x - 6)^{2} - 4 (6 + x) : 16 x^{2} - 52 x + 12

8 x^{2} - 26 x + 6 = 16 x^{2} - 52 x + 12

将

12

para o lado esquerdo

8 x^{2} - 26 x - 6 = 16 x^{2} - 52 x

将

52 x

para o lado esquerdo

8 x^{2} + 26 x - 6 = 16 x^{2}

将

16 x^{2}

para o lado esquerdo

- 8 x^{2} + 26 x - 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- 26 \pm 2 6 ^{2} - 4 ( - 8 ) ( - 6 )}{2 ( - 8 )}

2 6^{2} - 4 (- 8) (- 6) = 22

x_{1, 2} = \frac{- 26 \pm 22}{2 ( - 8 )}

将解分隔开

x_{1} = \frac{- 26 + 22}{2 ( - 8 )}, x_{2} = \frac{- 26 - 22}{2 ( - 8 )}

x = \frac{- 26 + 22}{2 ( - 8 )} : \frac{1}{4}

x = \frac{- 26 - 22}{2 ( - 8 )} : 3

二次方程组的解是:

x = \frac{1}{4}, x = 3

作图

流行的例子

solvefor x,8x^2+9y^2+288=0

so l v e f or x, 8 x^{2} + 9 y^{2} + 288 = 0

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

12 x^{2} = 3 x

e^{2} + 6 e + 12 = 0

- X (2 X - 1) = 0