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受欢迎的代数 >

(4x^2-1)/3 =x(10x-9)

解答

\frac{4 x ^{2} - 1}{3} = x (10 x - 9)

解答

x = \frac{1}{26}, x = 1

+1

十进制

x = 0.03846 \dots, x = 1

求解步骤

\frac{4 x ^{2} - 1}{3} = x (10 x - 9)

在两边乘以

3

4 x^{2} - 1 = 3 x (10 x - 9)

展开

3 x (10 x - 9) : 30 x^{2} - 27 x

4 x^{2} - 1 = 30 x^{2} - 27 x

将

27 x

para o lado esquerdo

4 x^{2} - 1 + 27 x = 30 x^{2}

将

30 x^{2}

para o lado esquerdo

- 26 x^{2} + 27 x - 1 = 0

使用求根公式求解

x_{1, 2} = \frac{- 27 \pm 2 7 ^{2} - 4 ( - 26 ) ( - 1 )}{2 ( - 26 )}

2 7^{2} - 4 (- 26) (- 1) = 25

x_{1, 2} = \frac{- 27 \pm 25}{2 ( - 26 )}

将解分隔开

x_{1} = \frac{- 27 + 25}{2 ( - 26 )}, x_{2} = \frac{- 27 - 25}{2 ( - 26 )}

x = \frac{- 27 + 25}{2 ( - 26 )} : \frac{1}{26}

x = \frac{- 27 - 25}{2 ( - 26 )} : 1

二次方程组的解是:

x = \frac{1}{26}, x = 1

作图

流行的例子

x^{2} - 18 x + 58 = 0

因式分解 xy^4+x^4

f a c t or x y^{4} + x^{4}

8 g + 2 g - 11 = 9

因式分解 5q^2+52q+20

f a c t or 5 q^{2} + 52 q + 20

8(b+1)+4=3(2b-8)-16

8 (b + 1) + 4 = 3 (2 b - 8) - 16