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受欢迎的代数 >

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

解答

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

解答

x = - 4, x = \frac{2}{3}

+1

十进制

x = - 4, x = 0.66666 \dots

求解步骤

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

展开

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

展开

(1 + 2 x)^{2} : 1 + 4 x + 4 x^{2}

9 - 6 x + x^{2} = 1 + 4 x + 4 x^{2}

将

4 x^{2}

para o lado esquerdo

9 - 6 x - 3 x^{2} = 1 + 4 x

将

4 x

para o lado esquerdo

- 3 x^{2} - 10 x + 9 = 1

将

1

para o lado esquerdo

- 3 x^{2} - 10 x + 8 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 ( - 3 ) \cdot 8}{2 ( - 3 )}

(- 10)^{2} - 4 (- 3) \cdot 8 = 14

x_{1, 2} = \frac{- ( - 10 ) \pm 14}{2 ( - 3 )}

将解分隔开

x_{1} = \frac{- ( - 10 ) + 14}{2 ( - 3 )}, x_{2} = \frac{- ( - 10 ) - 14}{2 ( - 3 )}

x = \frac{- ( - 10 ) + 14}{2 ( - 3 )} : - 4

x = \frac{- ( - 10 ) - 14}{2 ( - 3 )} : \frac{2}{3}

二次方程组的解是:

x = - 4, x = \frac{2}{3}

作图

流行的例子

- 6 x^{2} + 6 x + 12 = 0

x^{2} + 15 x + 16 = 0

solvefor x,x^2+2x-15=0

so l v e f or x, x^{2} + 2 x - 15 = 0

solvefor x,x^2y+4xy-x^2+x+4y-6=0

so l v e f or x, x^{2} y + 4 x y - x^{2} + x + 4 y - 6 = 0

\frac{3 x ^{2}}{4} - 3 = 0