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受欢迎的代数 >

(a-b)(a+b)=16,a+b=8

解答

(a - b) (a + b) = 16, a + b = 8

解答

(a = 5, b = 3)

求解步骤

[(a - b) (a + b) = 16 a + b = 8]

对于

(a - b) (a + b) = 16

将

a

移到一边:

a = b^{2} + 16, a = - b^{2} + 16

将解

a = b^{2} + 16, a = - b^{2} + 16

代入

a + b = 8

对于

a + b = 8

，用

b^{2} + 16

替代

a : b = 3

对于

a + b = 8

，用

- b^{2} + 16

替代

a : b \in R

无解

将解

b = 3

代入

(a - b) (a + b) = 16

对于

(a - b) (a + b) = 16

，用

3

替代

b : a = 5, a = - 5

将解代入原方程进行验证

因而，

(a - b) (a + b) = 16, a + b = 8

最后的解是

(a = 5, b = 3)

作图

流行的例子

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f (x) = 0, f (x) = x^{3} - 3 x^{2} + 4

d = 300 m, t = 3 h

c = (a + b) + c, a = 6

2x+3y=9,(a+b)x+(2a-b)y=3(a+b+1)

2 x + 3 y = 9, (a + b) x + (2 a - b) y = 3 (a + b + 1)

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