How do you solve 4x^2 -5x +1 = 0 by factoring?

To factor this you have to figure out what times what equal 1, and what plus what equals -5
Because you have middle number as a negative you now know that the two factoring numbers need to be negative.
You also know that the only way you can get one by multiplying is by using two ones together.
This leads you to be almost complete with your factoring.
The last thing you need to to do is figure out how the 4x^2 was created by look at 4's factors.
They are 2*2 and 4*1
With these two factors the only way you would be able to get a 5x is by 4*1

Your final factors are (4x - 1)(x - 1)

(1,4)

Step-by-step explanation:

The number of visitors to the park as the temperature increases by x units is represented by the function: f(x) = 4x.The number of people who leave the park early depending on the change in temperature is represented by the function: f(x) = −x + 5.The graph of the two functions is plotted and attached below.The solution to the two functions is the intersection of the two lines: (1,4)The point of intersection is the temperature at which the number of people leaving the park is equal to the number of people in the park.The solution, (1,4) means that when temperature is at 1 unit, the number of people(4) leaving and entering the park is equal.