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受欢迎的代数 >

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

解答

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

解答

x = - 2, x = 0

求解步骤

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

展开

(x - 2)^{2} : x^{2} - 4 x + 4

展开

(3 x + 2)^{2} : 9 x^{2} + 12 x + 4

x^{2} - 4 x + 4 = 9 x^{2} + 12 x + 4

将

4

para o lado esquerdo

x^{2} - 4 x = 9 x^{2} + 12 x

将

12 x

para o lado esquerdo

x^{2} - 16 x = 9 x^{2}

将

9 x^{2}

para o lado esquerdo

- 8 x^{2} - 16 x = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 ( - 8 ) \cdot 0}{2 ( - 8 )}

(- 16)^{2} - 4 (- 8) \cdot 0 = 16

x_{1, 2} = \frac{- ( - 16 ) \pm 16}{2 ( - 8 )}

将解分隔开

x_{1} = \frac{- ( - 16 ) + 16}{2 ( - 8 )}, x_{2} = \frac{- ( - 16 ) - 16}{2 ( - 8 )}

x = \frac{- ( - 16 ) + 16}{2 ( - 8 )} : - 2

x = \frac{- ( - 16 ) - 16}{2 ( - 8 )} : 0

二次方程组的解是:

x = - 2, x = 0

作图

流行的例子

solvefor x,(x^2)/((a)^2)+(y^2)/((b)^2)=0

so l v e f or x, \frac{x ^{2}}{( a ) ^{2}} + \frac{y ^{2}}{( b ) ^{2}} = 0

solvefor x,-(x-1)^2+(y-1)^2=0

so l v e f or x, - (x - 1)^{2} + (y - 1)^{2} = 0

2 (y^{2} - 11) = 0

(t)=576+64t-t^2

(t) = 576 + 64 t - t^{2}

4 x^{2} - 24 x + 5 = 0