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受欢迎的代数 >

5x^2-3x=x^2-4x+7

解答

5 x^{2} - 3 x = x^{2} - 4 x + 7

解答

x = - \frac{1 + 113}{8}, x = \frac{113 - 1}{8}

+1

十进制

x = - 1.45376 \dots, x = 1.20376 \dots

求解步骤

5 x^{2} - 3 x = x^{2} - 4 x + 7

交换两边

x^{2} - 4 x + 7 = 5 x^{2} - 3 x

将

3 x

para o lado esquerdo

x^{2} - x + 7 = 5 x^{2}

将

5 x^{2}

para o lado esquerdo

- 4 x^{2} - x + 7 = 0

使用求根公式求解

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

(- 1)^{2} - 4 (- 4) \cdot 7 = 113

x_{1, 2} = \frac{- ( - 1 ) \pm 113}{2 ( - 4 )}

将解分隔开

x_{1} = \frac{- ( - 1 ) + 113}{2 ( - 4 )}, x_{2} = \frac{- ( - 1 ) - 113}{2 ( - 4 )}

x = \frac{- ( - 1 ) + 113}{2 ( - 4 )} : - \frac{1 + 113}{8}

x = \frac{- ( - 1 ) - 113}{2 ( - 4 )} : \frac{113 - 1}{8}

二次方程组的解是:

x = - \frac{1 + 113}{8}, x = \frac{113 - 1}{8}

作图

流行的例子

4 y^{2} + 12 y - 3 = 5 y

2 b^{2} - 32 = 0

20 x^{2} - 7 x = 14

x^{2} - 8 x - 3 = 6

solvefor x,x^2+xy+y^2=16

so l v e f or x, x^{2} + x y + y^{2} = 16