Question

1. Решите уравнение 3х2 + 15x = 0.2. В школьной волейбольной команде пять игроков – три мальчика и две девочки. Игроки бросают жребий, кому первому подавать мяч в игру. Найдите вероятность того, что жребий выпадет одной из девочек.

Answer 1

1. 3x(x+5)=0

3x=0 или x+5=0

x=0 или x=-5

 

2. 2/5

Answer 2

Solving the Equation:

To solve the equation 3x^2 + 15x = 0.2, we can start by moving all the terms to one side to set the equation equal to zero. This gives us 3x^2 + 15x - 0.2 = 0.

Next, we can use the quadratic formula to find the solutions for x. The quadratic formula states that for an equation in the form ax^2 + bx + c = 0, the solutions for x can be found using the formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In our equation, a = 3, b = 15, and c = -0.2. Plugging these values into the quadratic formula, we get:

x = (-15 ± √(15^2 - 4 * 3 * -0.2)) / (2 * 3)

Simplifying the equation further, we have:

x = (-15 ± √(225 + 2.4)) / 6

x = (-15 ± √(227.4)) / 6

Calculating the square root of 227.4, we get approximately 15.07. Therefore, the solutions for x are:

x = (-15 + 15.07) / 6 ≈ 0.012

x = (-15 - 15.07) / 6 ≈ -5.012

So, the solutions to the equation 3x^2 + 15x = 0.2 are approximately x = 0.012 and x = -5.012.

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