Question

Решите уравнение:1)(x-3)(x+2)=02)(1,7-1,8y)(6y+3)=03)(6-1,2x)(-x-4x+10x-15)=0​

Answer 1

только 2................

Answer 2

1. (x - 3)(x + 2) = 0

To solve this equation, we set each factor equal to zero and solve for x:

x - 3 = 0 or x + 2 = 0

For x - 3 = 0: x = 3

For x + 2 = 0: x = -2

So the solutions to the equation are x = 3 and x = -2.

2. (1.7 - 1.8y)(6y + 3) = 0

Expanding the equation, we have:

10.2y + 5.1 - 10.8y^2 - 5.4y = 0

Rearranging and combining like terms:

-10.8y^2 + 4.8y + 5.1 = 0

To solve this quadratic equation, we can use the quadratic formula:

y = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = -10.8, b = 4.8, and c = 5.1. Substituting these values into the quadratic formula:

y = (-(4.8) ± √((4.8)^2 - 4(-10.8)(5.1))) / (2(-10.8))

Simplifying further:

y = (-4.8 ± √(23.04 + 220.32)) / (-21.6) y = (-4.8 ± √243.36) / (-21.6) y = (-4.8 ± 15.6) / (-21.6)

This gives us two possible solutions:

y1 = (-4.8 + 15.6) / (-21.6) y1 = 10.8 / (-21.6) y1 = -0.5

y2 = (-4.8 - 15.6) / (-21.6) y2 = -20.4 / (-21.6) y2 = 0.9444 (rounded to four decimal places)

So the solutions to the equation are y = -0.5 and y = 0.9444.

3. (6 - 1.2x)(-x - 4x + 10x - 15) = 0

Simplifying the equation:

(6 - 1.2x)(5x - 15) = 0

Expanding and rearranging:

30x - 90 - 6x^2 + 18x = 0

Combining like terms:

-6x^2 + 48x - 90 = 0

Dividing the equation by -6 to simplify:

x^2 - 8x + 15 = 0

This is a quadratic equation that can be factored:

(x - 3)(x - 5) = 0

Setting each factor equal to zero and solving for x:

x - 3 = 0 or x - 5 = 0

For x - 3 = 0: x = 3

For x - 5 = 0: x = 5

So the solutions to the equation are x = 3 and x = 5.