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受欢迎的代数 >

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

解答

求解

x, (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

(x-5)/3 = x/5-1/15

\frac{x - 5}{3} = \frac{x}{5} - \frac{1}{15}

solvefor x,y+2=-2(x+4)

so l v e f or x, y + 2 = - 2 (x + 4)

solvefor x,y-2=4(x+1)

so l v e f or x, y - 2 = 4 (x + 1)

- (5 x - 5) + 5 = - 20

x + 6 = 15