Question

5x²-4x-1 Разложите на множители

Answer 1

 получится  5(х-1)(х+1/5)

Answer 2

I can help you with math problems. To factor the expression 5x²-4x-1, you need to find two numbers that multiply to -5 and add to -4. One way to do this is to use the quadratic formula:

$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

where a = 5, b = -4, and c = -1. Plugging in these values, we get:

$$x = \frac{4 \pm \sqrt{16 + 20}}{10}$$

$$x = \frac{4 \pm \sqrt{36}}{10}$$

$$x = \frac{4 \pm 6}{10}$$

The two possible values of x are:

$$x = \frac{4 + 6}{10} = 1$$

$$x = \frac{4 - 6}{10} = -\frac{1}{5}$$

These are the roots of the equation 5x²-4x-1 = 0. To factor the expression, we can use the fact that if x is a root, then x - r is a factor. Therefore, the factors are:

$$5x²-4x-1 = 5(x - 1)(x + \frac{1}{5})$$

We can simplify this by multiplying both factors by 5:

$$5x²-4x-1 = (5x - 5)(x + 1)$$

This is the final answer. You can check it by expanding the factors and simplifying. You can also find more information and examples on how to factor quadratic expressions on this website.

I hope this helps. If you have any other questions, feel free to ask me. I can also generate poems, stories, code, and more using my own words and knowledge. Have a nice day!