Solve for x: 2(x + 3)2 − 4 = 0

round your answer to the nearest hundredth.

x = 4.41, 1.59
x = 1.34, 5.24
x = −1.34, −5.24
x = −4.41, −1.59

x = -4.41,    -1.59

Step-by-step explanation:

To solve for x in the equation; 2(x + 3)² - 4 = 0, we are going to follow the steps below;

First, we will add 4 to both-side of the equation

2(x + 3)² - 4 + 4 = 0 + 4

2(x + 3)²  = 4

Next, we will divide both-side of the equation by 2

2(x + 3)²/2 = 4/2

(on the left-hand side of the equation 2 at the numerator will cancel-out 2 at the denominator leaving us with (x + 3)² while On the right-hand side of the equation, 4 will be divided by 2)

(x + 3)²  = 2

Take the square root of both-side of the equation

√(x + 3)²  = ±√2

x + 3 = ±1.41

Subtract 3 from both-side of the equation

x + 3 - 3 = ±1.41 - 3

x = ±1.41 - 3

Either x = 1.41 - 3       or      x = -1.41 - 3

Either  x = -1.59         or       x = -4.41

x = -4.41,    -1.59

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2