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受欢迎的代数 >

completesquare x^2-14x+30=0

解答

x^{2} - 14 x + 30 = 0

解答

x = 19 + 7, x = - 19 + 7

+1

十进制

x = 11.35889 \dots, x = 2.64110 \dots

求解步骤

x^{2} - 14 x + 30 = 0

将

30

到右边

x^{2} - 14 x = - 30

改写为形式

(x + a)^{2} = b

(x - 7)^{2} = 19

若

f^{2} (x) = a

，解为

f (x) = a, - a

解

x - 7 = 19 : x = 19 + 7

解

x - 7 = - 19 : x = - 19 + 7

二次方程组的解是:

x = 19 + 7, x = - 19 + 7

作图

流行的例子

6 m (12 m - 5) = 0

5 x^{2} + 9 x + 5 = 0

3x(x+1)-x=33-(x-3)^2

3 x (x + 1) - x = 33 - (x - 3)^{2}

solvefor x,z=x^2+2y^2+6xy-6x+10y+5

so l v e f or x, z = x^{2} + 2 y^{2} + 6 x y - 6 x + 10 y + 5

4 a^{2} + 3 a - 22 = 0