Question

10y2-0.8y=1.92 решите пожалуйста;

Answer 1

10у² - 0,8у - 1,92 = 0

D = b² - 4ac = (-0,8)² - 4 · 10 · (-1,92) = 0,64 + 76,8 = 77,44

√D = √77,44 = 8,8

у = (-b±√D)/2а

у₁ = (0,8-8,8)/(2·10) = (-8)/20 = -0,4

у₂ = (0,8+8,8)/(2·10) = 9,6/20 = 0,48

Ответ: (-0,4; 0,48).

Answer 2

To solve the equation 10y^2 - 0.8y = 1.92, we can follow these steps:

Step 1: Move all the terms to one side of the equation to set it equal to zero: 10y^2 - 0.8y - 1.92 = 0

Step 2: Simplify the equation by multiplying all terms by 10 to eliminate the decimal: 100y^2 - 8y - 19.2 = 0

Step 3: Solve the quadratic equation. There are different methods to solve quadratic equations, such as factoring, completing the square, or using the quadratic formula. In this case, we will use the quadratic formula:

The quadratic formula is given by: y = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 100, b = -8, and c = -19.2. Plugging these values into the quadratic formula, we get: y = (-(-8) ± √((-8)^2 - 4(100)(-19.2))) / (2(100)) y = (8 ± √(64 + 7680)) / 200 y = (8 ± √(7744)) / 200 y = (8 ± 88) / 200

Step 4: Simplify the expression: y = (8 + 88) / 200 or y = (8 - 88) / 200

Simplifying further, we have: y = 96 / 200 or y = -80 / 200

Step 5: Simplify the fractions: y = 24 / 50 or y = -40 / 100

Finally, we can simplify the fractions to get the solutions: y = 12 / 25 or y = -2 / 5

Therefore, the solutions to the equation 10y^2 - 0.8y = 1.92 are y = 12/25 and y = -2/5.