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人気のある代数 >

4.9x^2-205.06x-210=0

解

4.9 x^{2} - 205.06 x - 210 = 0

解

x = \frac{20506 + 461656036}{980}, x = \frac{20506 - 461656036}{980}

+1

十進法表記

x = 42.84916 \dots, x = - 1.00018 \dots

解答ステップ

4.9 x^{2} - 205.06 x - 210 = 0

以下で両辺を乗じる:

100

490 x^{2} - 20506 x - 21000 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 20506 ) \pm ( - 20506 ) ^{2} - 4 \cdot 490 ( - 21000 )}{2 \cdot 490}

(- 20506)^{2} - 4 \cdot 490 (- 21000) = 461656036

x_{1, 2} = \frac{- ( - 20506 ) \pm 461656036}{2 \cdot 490}

解を分離する

x_{1} = \frac{- ( - 20506 ) + 461656036}{2 \cdot 490}, x_{2} = \frac{- ( - 20506 ) - 461656036}{2 \cdot 490}

x = \frac{- ( - 20506 ) + 461656036}{2 \cdot 490} : \frac{20506 + 461656036}{980}

x = \frac{- ( - 20506 ) - 461656036}{2 \cdot 490} : \frac{20506 - 461656036}{980}

二次equationの解:

x = \frac{20506 + 461656036}{980}, x = \frac{20506 - 461656036}{980}

グラフ

人気の例

(3 x - 1)^{2} = 75

x (x - 3) = - 1

solvefor x,x^2+y^2=r

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

3 x^{2} - 6 x = x^{2}

solvefor x,2x^2-xy-y^2=44

so l v e f or x, 2 x^{2} - x y - y^{2} = 44