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受欢迎的代数 >

(3x-1)^2=9x+3

解答

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

解答

x = \frac{5 + 33}{6}, x = \frac{5 - 33}{6}

+1

十进制

x = 1.79076 \dots, x = - 0.12409 \dots

求解步骤

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

展开

(3 x - 1)^{2} : 9 x^{2} - 6 x + 1

9 x^{2} - 6 x + 1 = 9 x + 3

将

3

para o lado esquerdo

9 x^{2} - 6 x - 2 = 9 x

将

9 x

para o lado esquerdo

9 x^{2} - 15 x - 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 \cdot 9 ( - 2 )}{2 \cdot 9}

(- 15)^{2} - 4 \cdot 9 (- 2) = 333

x_{1, 2} = \frac{- ( - 15 ) \pm 3 33}{2 \cdot 9}

将解分隔开

x_{1} = \frac{- ( - 15 ) + 3 33}{2 \cdot 9}, x_{2} = \frac{- ( - 15 ) - 3 33}{2 \cdot 9}

x = \frac{- ( - 15 ) + 3 33}{2 \cdot 9} : \frac{5 + 33}{6}

x = \frac{- ( - 15 ) - 3 33}{2 \cdot 9} : \frac{5 - 33}{6}

二次方程组的解是:

x = \frac{5 + 33}{6}, x = \frac{5 - 33}{6}

作图

流行的例子

4 z^{2} - 4 z - 15 = 0

2 x^{2} + 4 = 8 x

9 x^{2} = 6 x + 2

(x+1)(x-1)=2(x-13)^2

(x + 1) (x - 1) = 2 (x - 13)^{2}

2 x^{2} + 160 = 36 x