Question

2у в квадрате - у-5=0

Answer 1

2у² - у-5=0

у=(1±√(1+40))/2

у=(1±√(41))/2

Answer 2

To solve the quadratic equation 2у² - у - 5 = 0, we can use the quadratic formula:

The quadratic formula states that for an equation of the form ax² + bx + c = 0, the solutions for y (or x) are given by:

y = (-b ± √(b² - 4ac)) / 2a

In our case, a = 2, b = -1, and c = -5.

Plugging these values into the quadratic formula, we get:

y = (1 ± √((-1)² - 4 * 2 * (-5))) / (2 * 2)

y = (1 ± √(1 + 40)) / 4

y = (1 ± √41) / 4

So, the two solutions for у are:

1. y = (1 + √41) / 4
2. y = (1 - √41) / 4

These are the exact solutions to the given quadratic equation.