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人気のある代数 >

3k^2-96k+92=0

解

3 k^{2} - 96 k + 92 = 0

解

k = \frac{2 ( 24 + 13 3 )}{3}, k = \frac{2 ( 24 - 13 3 )}{3}

+1

十進法表記

k = 31.01110 \dots, k = 0.98889 \dots

解答ステップ

3 k^{2} - 96 k + 92 = 0

解くとthe二次式

k_{1, 2} = \frac{- ( - 96 ) \pm ( - 96 ) ^{2} - 4 \cdot 3 \cdot 92}{2 \cdot 3}

(- 96)^{2} - 4 \cdot 3 \cdot 92 = 523

k_{1, 2} = \frac{- ( - 96 ) \pm 52 3}{2 \cdot 3}

解を分離する

k_{1} = \frac{- ( - 96 ) + 52 3}{2 \cdot 3}, k_{2} = \frac{- ( - 96 ) - 52 3}{2 \cdot 3}

k = \frac{- ( - 96 ) + 52 3}{2 \cdot 3} : \frac{2 ( 24 + 13 3 )}{3}

k = \frac{- ( - 96 ) - 52 3}{2 \cdot 3} : \frac{2 ( 24 - 13 3 )}{3}

二次equationの解:

k = \frac{2 ( 24 + 13 3 )}{3}, k = \frac{2 ( 24 - 13 3 )}{3}

グラフ

人気の例

(2x+10)(3x-15)=0

(2 x + 10) (3 x - 15) = 0

12 x^{2} - 2 = 8 x

(81+k(k+1))/2 =127

\frac{81 + k ( k + 1 )}{2} = 127

2 x^{2} - 5 = 7 x

j(2a)=(2a)^2-(2a)+1

j (2 a) = (2 a)^{2} - (2 a) + 1