Question

Реши уравнение d^2+0,6d+0,09−0,36d^2=0 d1= d2= (Во второе окошко запиши корень в виде обыкновенной дроби, знак дроби - в отдельное окошко. Дробь не сокращай.)

Answer 1

Расписанное решение через дискриминант

Answer 2

Solving the Equation

To solve the equation d^2 + 0.6d + 0.09 - 0.36d^2 = 0, we can start by simplifying the equation:

-0.36d^2 + d^2 + 0.6d + 0.09 = 0

Combining like terms, we have:

0.64d^2 + 0.6d + 0.09 = 0

Now, we can solve this quadratic equation. To do so, we can use the quadratic formula:

d = (-b ± √(b^2 - 4ac)) / (2a)

In this case, the coefficients are: - a = 0.64 - b = 0.6 - c = 0.09

Plugging these values into the quadratic formula, we get:

d = (-0.6 ± √(0.6^2 - 4 * 0.64 * 0.09)) / (2 * 0.64)

Simplifying further:

d = (-0.6 ± √(0.36 - 0.2304)) / 1.28

d = (-0.6 ± √(0.1296)) / 1.28

d = (-0.6 ± 0.36) / 1.28

Now, we can calculate the two possible values for d:

d1 = (-0.6 + 0.36) / 1.28 = -0.24 / 1.28 = -0.1875

d2 = (-0.6 - 0.36) / 1.28 = -0.96 / 1.28 = -0.75

Therefore, the solutions to the equation are: - d1 = -0.1875 - d2 = -0.75

Please note that the solution is rounded to four decimal places.

Let me know if there's anything else I can help you with!