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人気のある代数 >

3x^2-2x-15=0

解

3 x^{2} - 2 x - 15 = 0

解

x = \frac{1 + 46}{3}, x = \frac{1 - 46}{3}

+1

十進法表記

x = 2.59410 \dots, x = - 1.92744 \dots

解答ステップ

3 x^{2} - 2 x - 15 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 3 ( - 15 )}{2 \cdot 3}

(- 2)^{2} - 4 \cdot 3 (- 15) = 246

x_{1, 2} = \frac{- ( - 2 ) \pm 2 46}{2 \cdot 3}

解を分離する

x_{1} = \frac{- ( - 2 ) + 2 46}{2 \cdot 3}, x_{2} = \frac{- ( - 2 ) - 2 46}{2 \cdot 3}

x = \frac{- ( - 2 ) + 2 46}{2 \cdot 3} : \frac{1 + 46}{3}

x = \frac{- ( - 2 ) - 2 46}{2 \cdot 3} : \frac{1 - 46}{3}

二次equationの解:

x = \frac{1 + 46}{3}, x = \frac{1 - 46}{3}

グラフ

人気の例

(5k+7)x^2+5(k+2)x+3k+5=0

(5 k + 7) x^{2} + 5 (k + 2) x + 3 k + 5 = 0

completesquare 4x^2-x-8

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

(x + 6) (x - 1) = - 10

completesquare 4x^2+2x+5

co m pl e t es q u a re 4 x^{2} + 2 x + 5

5x^2+31623x+50=0

5 x^{2} + 31623 x + 50 = 0