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受欢迎的代数 >

9780=x(124-0.08x)

解答

9780 = x (124 - 0.08 x)

解答

x = \frac{124 - 12246.4}{0.16}, x = \frac{124 + 12246.4}{0.16}

+1

十进制

x = 83.35341 \dots, x = 1466.64658 \dots

求解步骤

9780 = x (124 - 0.08 x)

展开

x (124 - 0.08 x) : 124 x - 0.08 x^{2}

9780 = 124 x - 0.08 x^{2}

交换两边

124 x - 0.08 x^{2} = 9780

将

9780

para o lado esquerdo

124 x - 0.08 x^{2} - 9780 = 0

改写成标准形式

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

- 0.08 x^{2} + 124 x - 9780 = 0

使用求根公式求解

x_{1, 2} = \frac{- 124 \pm 12 4 ^{2} - 4 ( - 0.08 ) ( - 9780 )}{2 ( - 0.08 )}

12 4^{2} - 4 (- 0.08) (- 9780) = 12246.4

x_{1, 2} = \frac{- 124 \pm 12246.4}{2 ( - 0.08 )}

将解分隔开

x_{1} = \frac{- 124 + 12246.4}{2 ( - 0.08 )}, x_{2} = \frac{- 124 - 12246.4}{2 ( - 0.08 )}

x = \frac{- 124 + 12246.4}{2 ( - 0.08 )} : \frac{124 - 12246.4}{0.16}

x = \frac{- 124 - 12246.4}{2 ( - 0.08 )} : \frac{124 + 12246.4}{0.16}

二次方程组的解是:

x = \frac{124 - 12246.4}{0.16}, x = \frac{124 + 12246.4}{0.16}

作图

流行的例子

|\sqrt[3]{10000}|>|\sqrt[3]{-9999.9}|

310000 > 3 - 9999.9

(5-x)/2-(x-17)/4 >= x/3-(7x-3)/(12)

\frac{5 - x}{2} - \frac{x - 17}{4} \geq \frac{x}{3} - \frac{7 x - 3}{12}

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因式分解 3xy-6x+8y-16

f a c t or 3 x y - 6 x + 8 y - 16