4х^2+9х+5=0 Если уравнение имеет более одного корня,в ответ запишите больший из корней

To solve the quadratic equation 4х^2+9х+5=0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 4, b = 9, and c = 5. Plugging these values into the quadratic formula, we get:

x = (-9 ± √(9^2 - 445)) / (2*4)

Simplifying further:

x = (-9 ± √(81 - 80)) / 8 x = (-9 ± √1) / 8

Since √1 = 1, we have two possible values for x:

x1 = (-9 + 1) / 8 = -8/8 = -1 x2 = (-9 - 1) / 8 = -10/8 = -5/4

So, the greater root is x2 = -5/4.