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受欢迎的代数 >

(2x-2)^2-(x+3)^2=-5

解答

(2 x - 2)^{2} - (x + 3)^{2} = - 5

解答

x = \frac{14}{3}, x = 0

+1

十进制

x = 4.66666 \dots, x = 0

求解步骤

(2 x - 2)^{2} - (x + 3)^{2} = - 5

展开

(2 x - 2)^{2} - (x + 3)^{2} : 3 x^{2} - 14 x - 5

3 x^{2} - 14 x - 5 = - 5

将

5

para o lado esquerdo

3 x^{2} - 14 x = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 3 \cdot 0}{2 \cdot 3}

(- 14)^{2} - 4 \cdot 3 \cdot 0 = 14

x_{1, 2} = \frac{- ( - 14 ) \pm 14}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 14 ) + 14}{2 \cdot 3}, x_{2} = \frac{- ( - 14 ) - 14}{2 \cdot 3}

x = \frac{- ( - 14 ) + 14}{2 \cdot 3} : \frac{14}{3}

x = \frac{- ( - 14 ) - 14}{2 \cdot 3} : 0

二次方程组的解是:

x = \frac{14}{3}, x = 0

作图

流行的例子

y = 2 y^{2}

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

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

1/2 (2x-3)^2+1=11

\frac{1}{2} (2 x - 3)^{2} + 1 = 11

3 x^{2} - 48 x = - 159