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受欢迎的代数 >

completesquare 2x^2-3x+1=0

解答

2 x^{2} - 3 x + 1 = 0

解答

x = 1, x = \frac{1}{2}

+1

十进制

x = 1, x = 0.5

求解步骤

2 x^{2} - 3 x + 1 = 0

将

1

到右边

2 x^{2} - 3 x = - 1

两边除以

2

\frac{2 x ^{2} - 3 x}{2} = \frac{- 1}{2}

x^{2} - \frac{3 x}{2} = - \frac{1}{2}

改写为形式

(x + a)^{2} = b

(x - \frac{3}{4})^{2} = \frac{1}{16}

若

f^{2} (x) = a

，解为

f (x) = a, - a

解

x - \frac{3}{4} = \frac{1}{16} : x = 1

解

x - \frac{3}{4} = - \frac{1}{16} : x = \frac{1}{2}

二次方程组的解是:

x = 1, x = \frac{1}{2}

作图

流行的例子

solvefor y,cy^2=x^2(x-a)

so l v e f or y, c y^{2} = x^{2} (x - a)

x^{2} - 13 x - 300 = 0

solvefor x,f(x+h)=2(x+h)^2+5(x+h)-3

so l v e f or x, f (x + h) = 2 (x + h)^{2} + 5 (x + h) - 3

y^{2} - 14 y + 4 = 0

(2 x + 3) (4 x + 5) = 0