Question

1) -2х - 4 = 3х 2) -4 - 6х = 4х - 3 3) 4(х+1)=9 4) Х - х/12 = 11/3 5) 11/х+4 = - 11/7 6) 10/х+7 = - 5/8 7) (х-5)² = (х+15)² 8) (х-7) (-5х - 9) = 0 9) Х² - 81 = 0 10) 6х² + 24х = 0 11) х² - 5х = 14 12) 1 - 7(4 + 2х) = - 9 - 4х

Answer 1

Отметьте пожалуйста лучшим решением и поставьте сердечко

Answer 2

Sure, I can help you solve these equations. Let's go through each one:

1. -2x - 4 = 3x

Combine like terms:

-2x - 3x = 4

-5x = 4

Now, divide by -5 to solve for x:

x = 4 / (-5) x = -4/5

2. -4 - 6x = 4x - 3

Add 6x to both sides:

-4 = 10x - 3

Add 3 to both sides:

-1 = 10x

Now, divide by 10 to solve for x:

x = -1 / 10 x = -1/10

3. 4(x + 1) = 9

Distribute 4 on the left side:

4x + 4 = 9

Subtract 4 from both sides:

4x = 9 - 4 4x = 5

Now, divide by 4 to solve for x:

x = 5 / 4 x = 1.25

4. x - x/12 = 11/3

To eliminate the fraction, multiply both sides by 12:

12x - x = 4 * 11/3

11x = 44/3

Now, divide by 11 to solve for x:

x = (44/3) / 11 x = 44/33 x = 4/3

5. 11/(x+4) = -11/7

Cross-multiply:

11 * 7 = -11 * (x + 4)

77 = -11x - 44

Add 44 to both sides:

77 + 44 = -11x

121 = -11x

Now, divide by -11 to solve for x:

x = -121 / -11 x = 11

6. 10/(x+7) = -5/8

Cross-multiply:

10 * 8 = -5 * (x + 7)

80 = -5x - 35

Add 35 to both sides:

80 + 35 = -5x

115 = -5x

Now, divide by -5 to solve for x:

x = -115 / -5 x = 23

7. (x-5)² = (x+15)²

Take the square root of both sides:

x - 5 = x + 15

Subtract x from both sides:

-5 = 15

This equation has no solution.

8. (x-7)(-5x - 9) = 0

Set each factor equal to zero:

x - 7 = 0

x = 7

and

-5x - 9 = 0

-5x = 9

Now, divide by -5:

x = -9/5

So, there are two solutions: x = 7 and x = -9/5.

9. x² - 81 = 0

Add 81 to both sides:

x² = 81

Take the square root of both sides:

x = ±√81

x = ±9

So, there are two solutions: x = 9 and x = -9.

10. 6x² + 24x = 0

Factor out 6x:

6x(x + 4) = 0

Set each factor equal to zero:

6x = 0

x = 0

and

x + 4 = 0

x = -4

So, there are two solutions: x = 0 and x = -4.

11. x² - 5x = 14

Subtract 14 from both sides:

x² - 5x - 14 = 0

Now, you can factor or use the quadratic formula to solve for x. Factoring, we have:

(x - 7)(x + 2) = 0

Set each factor equal to zero:

x - 7 = 0

x = 7

and

x + 2 = 0

x = -2

So, there are two solutions: x = 7 and x = -2.

12. 1 - 7(4 + 2x) = -9 - 4x

Distribute the -7 on the left side:

1 - 28 - 14x = -9 - 4x

Combine like terms:

-27 - 14x = -9 - 4x

Add 14x to both sides:

-27 = -9 + 10x

Add 9 to both sides:

-18 = 10x

Now, divide by 10 to solve for x:

x = -18 / 10 x = -9/5 x = -1.8

I hope this helps!