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受欢迎的代数 >

(4x-2)/5 =x^2-2/3

解答

\frac{4 x - 2}{5} = x^{2} - \frac{2}{3}

解答

x = \frac{2 ( 3 + 2 6 )}{15}, x = \frac{2 ( 3 - 2 6 )}{15}

+1

十进制

x = 1.05319 \dots, x = - 0.25319 \dots

求解步骤

\frac{4 x - 2}{5} = x^{2} - \frac{2}{3}

找到

5, 3

的最小公倍数:

15

乘以最小公倍数=

15

\frac{4 x - 2}{5} \cdot 15 = x^{2} \cdot 15 - \frac{2}{3} \cdot 15

化简

3 (4 x - 2) = 15 x^{2} - 10

展开

3 (4 x - 2) : 12 x - 6

12 x - 6 = 15 x^{2} - 10

交换两边

15 x^{2} - 10 = 12 x - 6

将

6

para o lado esquerdo

15 x^{2} - 4 = 12 x

将

12 x

para o lado esquerdo

15 x^{2} - 4 - 12 x = 0

改写成标准形式

a x^{2} + b x + c = 0

15 x^{2} - 12 x - 4 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 15 ( - 4 )}{2 \cdot 15}

(- 12)^{2} - 4 \cdot 15 (- 4) = 86

x_{1, 2} = \frac{- ( - 12 ) \pm 8 6}{2 \cdot 15}

将解分隔开

x_{1} = \frac{- ( - 12 ) + 8 6}{2 \cdot 15}, x_{2} = \frac{- ( - 12 ) - 8 6}{2 \cdot 15}

x = \frac{- ( - 12 ) + 8 6}{2 \cdot 15} : \frac{2 ( 3 + 2 6 )}{15}

x = \frac{- ( - 12 ) - 8 6}{2 \cdot 15} : \frac{2 ( 3 - 2 6 )}{15}

二次方程组的解是:

x = \frac{2 ( 3 + 2 6 )}{15}, x = \frac{2 ( 3 - 2 6 )}{15}

作图

流行的例子

1 3^{2} = 5^{2} + b^{2}

solvefor x,36x^2+25y^2+z^2=1

so l v e f or x, 36 x^{2} + 25 y^{2} + z^{2} = 1

solvefor x,x^2=100

so l v e f or x, x^{2} = 100

(15sqrt(13))^2=45^2+x^2

(1513)^{2} = 4 5^{2} + x^{2}

12 = (x - 2) (x + 2)