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受欢迎的代数 >

x^2+2x+1=3

解答

x^{2} + 2 x + 1 = 3

解答

x = - 1 + 3, x = - 1 - 3

+1

十进制

x = 0.73205 \dots, x = - 2.73205 \dots

求解步骤

x^{2} + 2 x + 1 = 3

将

3

para o lado esquerdo

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

使用求根公式求解

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

2^{2} - 4 \cdot 1 \cdot (- 2) = 23

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

将解分隔开

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

x = \frac{- 2 + 2 3}{2 \cdot 1} : - 1 + 3

x = \frac{- 2 - 2 3}{2 \cdot 1} : - 1 - 3

二次方程组的解是:

x = - 1 + 3, x = - 1 - 3

作图

流行的例子

quadraticformula x^2+4x+8=0

q u a d r a t i c f or m u l a x^{2} + 4 x + 8 = 0

x^{2} + 2 x + 2 = 9

6 - b^{2} = - 19

25 y^{2} - 9 y = 180

4 a^{2} - 2 a + 3 = 0