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受欢迎的代数 >

97=215x-16x^2

解答

97 = 215 x - 16 x^{2}

解答

x = \frac{215 - 40017}{32}, x = \frac{215 + 40017}{32}

+1

十进制

x = 0.46742 \dots, x = 12.97007 \dots

求解步骤

97 = 215 x - 16 x^{2}

交换两边

215 x - 16 x^{2} = 97

将

97

para o lado esquerdo

215 x - 16 x^{2} - 97 = 0

改写成标准形式

a x^{2} + b x + c = 0

- 16 x^{2} + 215 x - 97 = 0

使用求根公式求解

x_{1, 2} = \frac{- 215 \pm 21 5 ^{2} - 4 ( - 16 ) ( - 97 )}{2 ( - 16 )}

21 5^{2} - 4 (- 16) (- 97) = 40017

x_{1, 2} = \frac{- 215 \pm 40017}{2 ( - 16 )}

将解分隔开

x_{1} = \frac{- 215 + 40017}{2 ( - 16 )}, x_{2} = \frac{- 215 - 40017}{2 ( - 16 )}

x = \frac{- 215 + 40017}{2 ( - 16 )} : \frac{215 - 40017}{32}

x = \frac{- 215 - 40017}{2 ( - 16 )} : \frac{215 + 40017}{32}

二次方程组的解是:

x = \frac{215 - 40017}{32}, x = \frac{215 + 40017}{32}

作图

流行的例子

-16x^2+112x+128=0

- 16 x^{2} + 112 x + 128 = 0

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x^{2} - 2 = 7 x - x^{2}

x^{2} + 12 x - 72 = 0

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