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受欢迎的代数 >

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

解答

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

解答

x = - 3 + 22, x = - 3 - 22

+1

十进制

x = - 0.17157 \dots, x = - 5.82842 \dots

求解步骤

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

展开

(2 x + 3)^{2} - (3 - x)^{2} : 3 x^{2} + 18 x

3 x^{2} + 18 x = - 3

将

3

para o lado esquerdo

3 x^{2} + 18 x + 3 = 0

使用求根公式求解

x_{1, 2} = \frac{- 18 \pm 1 8 ^{2} - 4 \cdot 3 \cdot 3}{2 \cdot 3}

1 8^{2} - 4 \cdot 3 \cdot 3 = 122

x_{1, 2} = \frac{- 18 \pm 12 2}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 18 + 12 2}{2 \cdot 3}, x_{2} = \frac{- 18 - 12 2}{2 \cdot 3}

x = \frac{- 18 + 12 2}{2 \cdot 3} : - 3 + 22

x = \frac{- 18 - 12 2}{2 \cdot 3} : - 3 - 22

二次方程组的解是:

x = - 3 + 22, x = - 3 - 22

作图

流行的例子

c^{2} = 4 + 25

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

solvefor x,z=36-3x^2-3y^2

so l v e f or x, z = 36 - 3 x^{2} - 3 y^{2}

(x - 8) (3 x + 5) = 0

-45x^2+250x+250=0

- 45 x^{2} + 250 x + 250 = 0