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人気のある代数 >

-1/4 x^2+4x=-2

解

- \frac{1}{4} x^{2} + 4 x = - 2

解

x = - 2 (32 - 4), x = 2 (4 + 32)

+1

十進法表記

x = - 0.48528 \dots, x = 16.48528 \dots

解答ステップ

- \frac{1}{4} x^{2} + 4 x = - 2

以下で両辺を乗じる:

4

- x^{2} + 16 x = - 8

8

を左側に移動します

- x^{2} + 16 x + 8 = 0

解くとthe二次式

x_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 ( - 1 ) \cdot 8}{2 ( - 1 )}

1 6^{2} - 4 (- 1) \cdot 8 = 122

x_{1, 2} = \frac{- 16 \pm 12 2}{2 ( - 1 )}

解を分離する

x_{1} = \frac{- 16 + 12 2}{2 ( - 1 )}, x_{2} = \frac{- 16 - 12 2}{2 ( - 1 )}

x = \frac{- 16 + 12 2}{2 ( - 1 )} : - 2 (32 - 4)

x = \frac{- 16 - 12 2}{2 ( - 1 )} : 2 (4 + 32)

二次equationの解:

x = - 2 (32 - 4), x = 2 (4 + 32)

グラフ

人気の例

solvefor x,x^2+y^2+z^2=6x-4y-10z

so l v e f or x, x^{2} + y^{2} + z^{2} = 6 x - 4 y - 10 z

solvefor x,z^2=4+4(x^2+y^2)

so l v e f or x, z^{2} = 4 + 4 (x^{2} + y^{2})

2 (x - 1)^{2} - 36 = 0

solvefor x,x^2+mx+m+5=0

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

λ^{2} - 4 λ + 3 = 0