Question

Y=4/1 x^4- 3/1 x^3-x^2 решение​

Answer 1

y=4/1х^4-3/1х^3-х^2 | \1

у= 4х^4-3х^3-х^2

х є R

Answer 2

To find the solutions of the equation Y = (4/1)x^4 - (3/1)x^3 - x^2, we need to set Y equal to zero and solve for x:

0 = (4/1)x^4 - (3/1)x^3 - x^2

Now, we can factor out common terms:

0 = x^2((4/1)x^2 - (3/1)x - 1)

Next, we can use the quadratic formula to solve the quadratic equation (4/1)x^2 - (3/1)x - 1 = 0:

x = [-(b) ± √(b^2 - 4ac)] / 2a

Where a = 4/1, b = -(3/1), and c = -1.

x = [-(3/1) ± √((3/1)^2 - 4 * (4/1) * (-1))] / 2 * (4/1)

x = [-3 ± √(9 + 16)] / 8

x = [-3 ± √25] / 8

Now, we have two solutions for x:

1. x = (-3 + √25) / 8 = (-3 + 5) / 8 = 2 / 8 = 1/4
2. x = (-3 - √25) / 8 = (-3 - 5) / 8 = -8 / 8 = -1

So, the solutions for the equation Y = (4/1)x^4 - (3/1)x^3 - x^2 are x = 1/4 and x = -1.