Question

Знайдіть значення виразу $\frac{3 + 1.5x}{x {}^{2} + 3x} - \frac{1}{2x + 6}$
при х=0.01​

Answer 1

100

Объяснение:

$\frac{3 + 1.5x}{ {x}^{2} + 3x } - \frac{1}{2x + 6} = \\ = \frac{1.5(2 + x)}{x(x + 3)} - \frac{1}{2(x + 3)} = \\ \frac{3(2 + x)}{2x(x + 3)} - \frac{x}{2x(x + 3)} = \\ = \frac{3(2 + x) - x}{2x(x + 3)} = \\ = \frac{6 + 3x - x}{2x(x + 3)} = \\ = \frac{6 + 2x}{2x(x + 3)} = \frac{2(3 + x)}{2x(x + 3)} = \\ = \frac{1}{x}$

При x = 0.01

$\frac{1}{ \frac{1}{100} } = 100$