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受欢迎的代数 >

solvefor x,x^2-2x=m^2+2m

解答

x, x^{2} - 2 x = m^{2} + 2 m

解答

x = - m, x = m + 2

求解步骤

x^{2} - 2 x = m^{2} + 2 m

将

2 m

para o lado esquerdo

x^{2} - 2 x - 2 m = m^{2}

将

m^{2}

para o lado esquerdo

x^{2} - 2 x - 2 m - m^{2} = 0

因式分解

x^{2} - 2 x - 2 m - m^{2} : (x + m) (x - m - 2)

(x + m) (x - m - 2) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + m = 0 or x - m - 2 = 0

解

x + m = 0 : x = - m

解

x - m - 2 = 0 : x = m + 2

二次方程组的解是:

x = - m, x = m + 2

作图

流行的例子

-3x^2+(7k^2-3)x+7=0

- 3 x^{2} + (7 k^{2} - 3) x + 7 = 0

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(x + 1)^{3} = (x + 2)^{3} - 1

x^{2} + 3 x = 20 x

6 - \frac{x ^{2}}{4} = 2

completesquare p^2+16p-22=0

co m pl e t es q u a re p^{2} + 16 p - 22 = 0