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受欢迎的代数 >

completesquare w^2-4w-3=0

解答

w^{2} - 4 w - 3 = 0

解答

w = 7 + 2, w = - 7 + 2

+1

十进制

w = 4.64575 \dots, w = - 0.64575 \dots

求解步骤

w^{2} - 4 w - 3 = 0

将

3

到右边

w^{2} - 4 w = 3

改写为形式

(x + a)^{2} = b

(w - 2)^{2} = 7

若

f^{2} (x) = a

，解为

f (x) = a, - a

解

w - 2 = 7 : w = 7 + 2

解

w - 2 = - 7 : w = - 7 + 2

二次方程组的解是:

w = 7 + 2, w = - 7 + 2

作图

流行的例子

solvefor x,f=u^1(x^2)

so l v e f or x, f = u^{1} (x^{2})

400-x^2=60x-300

400 - x^{2} = 60 x - 300

3 x^{2} + 11 x = - 5

solvefor x,x^2+xy+y^2-3=0

so l v e f or x, x^{2} + x y + y^{2} - 3 = 0

d^{2} + 8 d + 12 = 0