Question

(3x-6)(2x +17) = 0; 6) 16x -3=8x-43.

Answer 1

(3x - 6 ) * (2x + 17 ) = 0

6x² + 51x - 12 x - 102 = 0

6x² + 39x - 102 = 0 | :3

2x² + 13x - 34 = 0

D = b² - 4ac

a = 2, b = 13, c = -34

D = 13² - 4 * 2 * (-34) = 169 + 272 = 441 = 21²

x1 = -b - ✓D / 2a = -13 - 21 / 4 = -34 / 4 = - 8,5

x2 = -b + ✓D / 2a = -13 + 21 / 4 = 8 / 4 = 2

Ответ : -8,5; 2.

16x - 3 = 8x - 43

16x - 8x = -43 +3

8x = - 40

x = - 5

Ответ : -5.

Answer 2

Ответ -5 ………. ………. ……….

Answer 3

It seems like you have two equations. Let's solve them one by one:

1. (3x - 6)(2x + 17) = 0

To solve this equation, you can use the zero-product property, which states that if the product of two factors equals zero, then at least one of the factors must be zero. So:

a) 3x - 6 = 0 b) 2x + 17 = 0

a) 3x - 6 = 0 Add 6 to both sides: 3x = 6 Divide both sides by 3: x = 2

b) 2x + 17 = 0 Subtract 17 from both sides: 2x = -17 Divide both sides by 2: x = -17/2

So, the solutions for the equation (3x - 6)(2x + 17) = 0 are x = 2 and x = -17/2.

2. 16x - 3 = 8x - 43

To solve this equation, you can isolate the variable x on one side of the equation:

16x - 3 = 8x - 43

Subtract 8x from both sides:

16x - 8x - 3 = -43

Simplify:

8x - 3 = -43

Now, add 3 to both sides:

8x - 3 + 3 = -43 + 3

Simplify:

8x = -40

Now, divide both sides by 8 to isolate x:

8x / 8 = -40 / 8

Simplify:

x = -5

So, the solution for the equation 16x - 3 = 8x - 43 is x = -5.