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受欢迎的代数 >

(x-5)(x-5)=x(2x-6)

解答

(x - 5) (x - 5) = x (2 x - 6)

解答

x = - 2 - 29, x = 29 - 2

+1

十进制

x = - 7.38516 \dots, x = 3.38516 \dots

求解步骤

(x - 5) (x - 5) = x (2 x - 6)

展开

(x - 5) (x - 5) : x^{2} - 10 x + 25

展开

x (2 x - 6) : 2 x^{2} - 6 x

x^{2} - 10 x + 25 = 2 x^{2} - 6 x

将

6 x

para o lado esquerdo

x^{2} - 4 x + 25 = 2 x^{2}

将

2 x^{2}

para o lado esquerdo

- x^{2} - 4 x + 25 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 ( - 1 ) \cdot 25}{2 ( - 1 )}

(- 4)^{2} - 4 (- 1) \cdot 25 = 229

x_{1, 2} = \frac{- ( - 4 ) \pm 2 29}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- ( - 4 ) + 2 29}{2 ( - 1 )}, x_{2} = \frac{- ( - 4 ) - 2 29}{2 ( - 1 )}

x = \frac{- ( - 4 ) + 2 29}{2 ( - 1 )} : - 2 - 29

x = \frac{- ( - 4 ) - 2 29}{2 ( - 1 )} : 29 - 2

二次方程组的解是:

x = - 2 - 29, x = 29 - 2

作图

流行的例子

2 x - 2 x^{2} = 7

6 x^{2} - 3 x + 1 = 0

solvefor x,5(y+1)^3+x^2=1

so l v e f or x, 5 (y + 1)^{3} + x^{2} = 1

3 x^{2} + 8 = 32

7 g - 5 g^{2} = 4