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受欢迎的代数 >

completesquare x^2-20x+12=0

解答

x^{2} - 20 x + 12 = 0

解答

x = 222 + 10, x = - 222 + 10

+1

十进制

x = 19.38083 \dots, x = 0.61916 \dots

求解步骤

x^{2} - 20 x + 12 = 0

将

12

到右边

x^{2} - 20 x = - 12

改写为形式

(x + a)^{2} = b

(x - 10)^{2} = 88

若

f^{2} (x) = a

，解为

f (x) = a, - a

解

x - 10 = 88 : x = 222 + 10

解

x - 10 = - 88 : x = - 222 + 10

二次方程组的解是:

x = 222 + 10, x = - 222 + 10

作图

流行的例子

17 - 3 x^{2} = - 10

2 (x + 15)^{2} + 20 = 0

4X^2+28=5X^2+76

4 X^{2} + 28 = 5 X^{2} + 76

solvefor x,9x^2+72x-64y^2+128y+80=0

so l v e f or x, 9 x^{2} + 72 x - 64 y^{2} + 128 y + 80 = 0

(x + 3)^{2} - x = 20