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受欢迎的代数 >

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

解答

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

解答

x = - 5, x = 1

求解步骤

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

展开

2 (x - 1)^{2} + 3 : 2 x^{2} - 4 x + 5

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

交换两边

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

将

3 x^{2}

para o lado esquerdo

- x^{2} - 4 x + 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 ( - 1 ) \cdot 5}{2 ( - 1 )}

(- 4)^{2} - 4 (- 1) \cdot 5 = 6

x_{1, 2} = \frac{- ( - 4 ) \pm 6}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- ( - 4 ) + 6}{2 ( - 1 )}, x_{2} = \frac{- ( - 4 ) - 6}{2 ( - 1 )}

x = \frac{- ( - 4 ) + 6}{2 ( - 1 )} : - 5

x = \frac{- ( - 4 ) - 6}{2 ( - 1 )} : 1

二次方程组的解是:

x = - 5, x = 1

作图

流行的例子

x^{(2)}+20x+28=9

x^{(2)} + 20 x + 28 = 9

6 - 5 x + x^{2} = 0

2 t^{2} + 4 t + 2 = 0

x^{2} - 2 x - 22 = 2 x - 1

log_{10}(9)=x^2+3

lo g_{10} (9) = x^{2} + 3