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受欢迎的代数 >

201=0.1w^2+2.155w+19.985

解答

201 = 0.1 w^{2} + 2.155 w + 19.985

解答

w = \frac{- 431 + 3082001}{40}, w = - \frac{431 + 3082001}{40}

+1

十进制

w = 33.11407 \dots, w = - 54.66407 \dots

求解步骤

201 = 0.1 w^{2} + 2.155 w + 19.985

在两边乘以

1000

201000 = 100 w^{2} + 2155 w + 19985

交换两边

100 w^{2} + 2155 w + 19985 = 201000

将

201000

para o lado esquerdo

100 w^{2} + 2155 w - 181015 = 0

使用求根公式求解

w_{1, 2} = \frac{- 2155 \pm 215 5 ^{2} - 4 \cdot 100 ( - 181015 )}{2 \cdot 100}

215 5^{2} - 4 \cdot 100 (- 181015) = 53082001

w_{1, 2} = \frac{- 2155 \pm 5 3082001}{2 \cdot 100}

将解分隔开

w_{1} = \frac{- 2155 + 5 3082001}{2 \cdot 100}, w_{2} = \frac{- 2155 - 5 3082001}{2 \cdot 100}

w = \frac{- 2155 + 5 3082001}{2 \cdot 100} : \frac{- 431 + 3082001}{40}

w = \frac{- 2155 - 5 3082001}{2 \cdot 100} : - \frac{431 + 3082001}{40}

二次方程组的解是:

w = \frac{- 431 + 3082001}{40}, w = - \frac{431 + 3082001}{40}

作图

流行的例子

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solvefor y,y^2-xy=6

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

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