Question

2x*(x+2) - 3*(3x - 4)=4 3x*(2+5-4)+3x-2x-1=9 2*(0,5-1/2+4x)-1/4*(2x-4)=-5,5

Answer 1

Первое:
2х^2+4х-9х+12-4=0
2х^2-5х+8=0
Д=(-5)^2-4*2*8=25-61=-36
Корней нет.
Второе:
6х+15х-12х+3х-2х-1-9=0
10х-10=0
10х=10
х=0
Третье:
1-1+8х-0,5-1+5,5=0
8х=4
х=4/8=0,5

Answer 2

To solve each of these equations, we'll follow the steps for simplification and solving. Let's start with the first equation:

1. 2x*(x+2) - 3*(3x - 4) = 4

Step 1: Distribute the terms. 2x^2 + 4x - 9x + 12 = 4

Step 2: Combine like terms. 2x^2 - 5x + 12 = 4

Step 3: Move all terms to one side of the equation. 2x^2 - 5x + 12 - 4 = 0 2x^2 - 5x + 8 = 0

Step 4: Solve the quadratic equation using the quadratic formula or factoring. Using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a)

For this equation, a = 2, b = -5, and c = 8 x = (5 ± √((-5)^2 - 428)) / (2*2) x = (5 ± √(25 - 64)) / 4 x = (5 ± √(-39)) / 4

Since the discriminant (√(b^2 - 4ac)) is negative, there are no real solutions for this equation. Thus, the first equation has no real solutions.

2. 3x*(2+5-4)+3x-2x-1=9

Step 1: Simplify the expression within the parentheses. 3x*(3) + 3x - 2x - 1 = 9

Step 2: Combine like terms. 9x + 3x - 2x - 1 = 9

Step 3: Combine like terms again. 10x - 1 = 9

Step 4: Move constant terms to the right side of the equation. 10x = 9 + 1 10x = 10

Step 5: Solve for x. x = 10 / 10 x = 1

So, the solution for the second equation is x = 1.

3. 2*(0.5 - 1/2 + 4x) - 1/4*(2x - 4) = -5.5

Step 1: Perform operations within the parentheses. 2*(0.5 - 0.5 + 4x) - 1/4*(2x - 4) = -5.5 2*(4x) - 1/4*(2x - 4) = -5.5 8x - 1/4*(2x - 4) = -5.5

Step 2: Distribute the term inside the second set of parentheses. 8x - (1/4)*(2x) + (1/4)*4 = -5.5 8x - 1/2x + 1 = -5.5

Step 3: Combine like terms. (8x - 1/2x) + 1 = -5.5 (7.5x) + 1 = -5.5

Step 4: Move constant terms to the right side of the equation. 7.5x = -5.5 - 1 7.5x = -6.5

Step 5: Solve for x. x = -6.5 / 7.5 x = -13/15

So, the solution for the third equation is x = -13/15.