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受欢迎的代数 >

x^2+(x+2)^2=212

解答

x^{2} + (x + 2)^{2} = 212

解答

x = - 1 + 105, x = - 1 - 105

+1

十进制

x = 9.24695 \dots, x = - 11.24695 \dots

求解步骤

x^{2} + (x + 2)^{2} = 212

展开

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

2 x^{2} + 4 x + 4 = 212

将

212

para o lado esquerdo

2 x^{2} + 4 x - 208 = 0

使用求根公式求解

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 2 ( - 208 )}{2 \cdot 2}

4^{2} - 4 \cdot 2 (- 208) = 4105

x_{1, 2} = \frac{- 4 \pm 4 105}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- 4 + 4 105}{2 \cdot 2}, x_{2} = \frac{- 4 - 4 105}{2 \cdot 2}

x = \frac{- 4 + 4 105}{2 \cdot 2} : - 1 + 105

x = \frac{- 4 - 4 105}{2 \cdot 2} : - 1 - 105

二次方程组的解是:

x = - 1 + 105, x = - 1 - 105

作图

流行的例子

- 3 x^{2} = 12 x + 12

5 x^{2} + 4 x - 7 = 0

solvefor y,x^2+(y+3/4)^2=1

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4 p^{2} + 23 = 7

x^{2} = 0.1