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受欢迎的代数 >

completesquare x^2+2x-99=0

解答

x^{2} + 2 x - 99 = 0

解答

x = 9, x = - 11

求解步骤

x^{2} + 2 x - 99 = 0

将

99

到右边

x^{2} + 2 x = 99

改写为形式

(x + a)^{2} = b

(x + 1)^{2} = 100

若

f^{2} (x) = a

，解为

f (x) = a, - a

解

x + 1 = 100 : x = 9

解

x + 1 = - 100 : x = - 11

二次方程组的解是:

x = 9, x = - 11

作图

流行的例子

4 v^{2} + 4 = 40

(32-x)^2+(16-x)^2=x^2

(32 - x)^{2} + (16 - x)^{2} = x^{2}

5 x^{2} + 40 x = - 75

x^{2} - x + \frac{1}{8} = 0

solvefor x,0=x(1-x)+m-hx

so l v e f or x, 0 = x (1 - x) + m - h x