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人気のある代数 >

-3/2 x^2-12x+54=0

解

- \frac{3}{2} x^{2} - 12 x + 54 = 0

解

x = - 2 (2 + 13), x = 2 (13 - 2)

+1

十進法表記

x = - 11.21110 \dots, x = 3.21110 \dots

解答ステップ

- \frac{3}{2} x^{2} - 12 x + 54 = 0

以下で両辺を乗じる:

2

- 3 x^{2} - 24 x + 108 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 ( - 3 ) \cdot 108}{2 ( - 3 )}

(- 24)^{2} - 4 (- 3) \cdot 108 = 1213

x_{1, 2} = \frac{- ( - 24 ) \pm 12 13}{2 ( - 3 )}

解を分離する

x_{1} = \frac{- ( - 24 ) + 12 13}{2 ( - 3 )}, x_{2} = \frac{- ( - 24 ) - 12 13}{2 ( - 3 )}

x = \frac{- ( - 24 ) + 12 13}{2 ( - 3 )} : - 2 (2 + 13)

x = \frac{- ( - 24 ) - 12 13}{2 ( - 3 )} : 2 (13 - 2)

二次equationの解:

x = - 2 (2 + 13), x = 2 (13 - 2)

グラフ

人気の例

因数 8x^2+22x+15=0

f a c t or 8 x^{2} + 22 x + 15 = 0

- 16 t^{2} + 10 t + 6 = 0

solvefor x,9x^2-4y^2+36x+24y=0

so l v e f or x, 9 x^{2} - 4 y^{2} + 36 x + 24 y = 0

completesquare 2x^2+8x+4

co m pl e t es q u a re 2 x^{2} + 8 x + 4

solvefor x,x^2-y^2=a

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