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受欢迎的代数 >

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

解答

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

解答

x = 9, x = 0

求解步骤

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

展开

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

展开

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

4 x^{2} - 12 x + 9 = 2 x^{2} + 6 x + 9

将

9

para o lado esquerdo

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

将

6 x

para o lado esquerdo

4 x^{2} - 18 x = 2 x^{2}

将

2 x^{2}

para o lado esquerdo

2 x^{2} - 18 x = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 2 \cdot 0}{2 \cdot 2}

(- 18)^{2} - 4 \cdot 2 \cdot 0 = 18

x_{1, 2} = \frac{- ( - 18 ) \pm 18}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 18 ) + 18}{2 \cdot 2}, x_{2} = \frac{- ( - 18 ) - 18}{2 \cdot 2}

x = \frac{- ( - 18 ) + 18}{2 \cdot 2} : 9

x = \frac{- ( - 18 ) - 18}{2 \cdot 2} : 0

二次方程组的解是:

x = 9, x = 0

作图

流行的例子

x^2+50x-30000=0

x^{2} + 50 x - 30000 = 0

completesquare x^2-3/4 x

co m pl e t es q u a re x^{2} - \frac{3}{4} x

4 n^{2} + 5 n - 6 = 0

completesquare x^2+7x-12=0

co m pl e t es q u a re x^{2} + 7 x - 12 = 0

solvefor x,yx^2-5y-x=0

so l v e f or x, y x^{2} - 5 y - x = 0