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受欢迎的代数 >

(1/2 x+6)^2-(x-3)^2=0

解答

(\frac{1}{2} x + 6)^{2} - (x - 3)^{2} = 0

解答

x = - 2, x = 18

求解步骤

(\frac{1}{2} x + 6)^{2} - (x - 3)^{2} = 0

展开

(\frac{1}{2} x + 6)^{2} - (x - 3)^{2} : - \frac{3}{4} x^{2} + 12 x + 27

- \frac{3}{4} x^{2} + 12 x + 27 = 0

改写成标准形式

a x^{2} + b x + c = 0

- \frac{3 x ^{2}}{4} + 12 x + 27 = 0

使用求根公式求解

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 ( - \frac{3}{4} ) \cdot 27}{2 ( - \frac{3}{4} )}

1 2^{2} - 4 (- \frac{3}{4}) \cdot 27 = 15

x_{1, 2} = \frac{- 12 \pm 15}{2 ( - \frac{3}{4} )}

将解分隔开

x_{1} = \frac{- 12 + 15}{2 ( - \frac{3}{4} )}, x_{2} = \frac{- 12 - 15}{2 ( - \frac{3}{4} )}

x = \frac{- 12 + 15}{2 ( - \frac{3}{4} )} : - 2

x = \frac{- 12 - 15}{2 ( - \frac{3}{4} )} : 18

二次方程组的解是:

x = - 2, x = 18

作图

流行的例子

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

化简 (-1-2i)-(3+7i)

s im pl i f y (- 1 - 2 i) - (3 + 7 i)

f + 17 < 3

- 9 n = 10 - 8 n

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