Question

1,2х-0,5х²=4х²-0,8х9х²-10х=7х²-15х⅔х²=5хочень прошу решите эти три уравнения)

Answer 1

1,2x+0,8x-0,5x^2-4x^2=0
2x-4,5x^2=0
x(2-4,5x)=0
x=0
2-4,5x=0
4,5x=2
x=2:4,5
x=4/9

Answer 2

To solve the given equations, let's go through each one step by step:

1. Equation 1: 1.2x - 0.5x² = 4x² - 0.8x

To solve this equation, we need to collect all the terms on one side and set the equation equal to zero. Rearranging the terms, we get:

0 = 4x² - 0.8x - 1.2x + 0.5x²

Combining like terms, we have:

0 = 4.5x² - 2x

Now, let's set this quadratic equation equal to zero and solve for x. Factoring out x, we get:

0 = x(4.5x - 2)

Setting each factor equal to zero, we have:

x = 0 or 4.5x - 2 = 0

Solving the second equation, we find:

4.5x = 2 x = 2/4.5 x = 4/9

Therefore, the solutions to Equation 1 are x = 0 and x = 4/9.

2. Equation 2: 9x² - 10x = 7x² - 15x

To solve this equation, we need to collect all the terms on one side and set the equation equal to zero. Rearranging the terms, we get:

0 = 7x² - 9x² - 10x + 15x

Combining like terms, we have:

0 = -2x² + 5x

Now, let's set this quadratic equation equal to zero and solve for x. Factoring out x, we get:

0 = x(-2x + 5)

Setting each factor equal to zero, we have:

x = 0 or -2x + 5 = 0

Solving the second equation, we find:

-2x = -5 x = -5/-2 x = 5/2

Therefore, the solutions to Equation 2 are x = 0 and x = 5/2.

3. Equation 3: 3x² = 5x

To solve this equation, we need to collect all the terms on one side and set the equation equal to zero. Rearranging the terms, we get:

0 = 3x² - 5x

Now, let's set this quadratic equation equal to zero and solve for x. Factoring out x, we get:

0 = x(3x - 5)

Setting each factor equal to zero, we have:

x = 0 or 3x - 5 = 0

Solving the second equation, we find:

3x = 5 x = 5/3

Therefore, the solutions to Equation 3 are x = 0 and x = 5/3.

In summary, the solutions to the three equations are as follows: - Equation 1: x = 0 and x = 4/9 - Equation 2: x = 0 and x = 5/2 - Equation 3: x = 0 and x = 5/3

Please let me know if you need any further assistance!