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受欢迎的代数 >

completesquare 5x+3=-2x^2

解答

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

解答

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

+1

十进制

x = - 1, x = - 1.5

求解步骤

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

交换两边

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

将

5 x

para o lado esquerdo

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

两边除以

- 2

\frac{- 2 x ^{2} - 5 x}{- 2} = \frac{3}{- 2}

x^{2} + \frac{5 x}{2} = - \frac{3}{2}

改写为形式

(x + a)^{2} = b

(x + \frac{5}{4})^{2} = \frac{1}{16}

若

f^{2} (x) = a

，解为

f (x) = a, - a

解

x + \frac{5}{4} = \frac{1}{16} : x = - 1

解

x + \frac{5}{4} = - \frac{1}{16} : x = - \frac{3}{2}

二次方程组的解是:

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

作图

流行的例子

solvefor x,2x^2+5y^2=0

so l v e f or x, 2 x^{2} + 5 y^{2} = 0

16 y^{2} + 62 y - 45 = 0

solvefor y,y^2-t^2+2ty=C

so l v e f or y, y^{2} - t^{2} + 2 t y = C

24 x^{2} - 10 x - 3 = 0

14 x^{2} + 6 x - 20 = 0