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受欢迎的代数 >

(x+a)^2-(x-b)^2=2a(a-b)

解答

(x + a)^{2} - (x - b)^{2} = 2 a (a - b)

解答

x = \frac{a ^{2} - 2 ab + b ^{2}}{2 ( a + b )}; a \neq = - b

求解步骤

(x + a)^{2} - (x - b)^{2} = 2 a (a - b)

展开

(x + a)^{2} - (x - b)^{2} : 2 a x + 2 b x + a^{2} - b^{2}

展开

2 a (a - b) : 2 a^{2} - 2 ab

2 a x + 2 b x + a^{2} - b^{2} = 2 a^{2} - 2 ab

将

a^{2}

到右边

2 a x + 2 b x - b^{2} = a^{2} - 2 ab

将

b^{2}

到右边

2 a x + 2 b x = a^{2} - 2 ab + b^{2}

分解

2 a x + 2 b x : 2 x (a + b)

2 x (a + b) = a^{2} - 2 ab + b^{2}

两边除以

2 (a + b); a \neq = - b

x = \frac{a ^{2} - 2 ab + b ^{2}}{2 ( a + b )}; a \neq = - b

作图

流行的例子

3 x - 15 = 17 - x

solvefor x,3x+5y=3

so l v e f or x, 3 x + 5 y = 3

solvefor x,3x+5y=8

so l v e f or x, 3 x + 5 y = 8

solvefor x,5x-y=7

so l v e f or x, 5 x - y = 7

6 = 0