Answer:
11. no solution
12. 12, -12.
13. 4/3, -4/3.
14. 6/5, -6/5.
15. 1/2, -1/2.
16. 7/4, -7/4.
Step-by-step explanation:
11. Why it is no solution is when you minus 66 from 3 you get a -63. You then divide 7 by that to get -9. Every time you put a negative inside a square root it will equal no solution every time.
12. 1/2x^2+3=75. I minused the 3 from both sides.
1/2x^2=72. I then times 1/2 to both sides to get 144.
x^2=144. I then square rooted both sides to get 12, -12.
13. 9x^2-16=0. I added 16 to both sides.
9x^2=16. I then divided 9 to both sides.
x^2=16/9. I then square rooted both sides to get 4/3, -4/3.
14. 25x^2+10=46. I minused the 10 from both sides.
25^2=36. I then divided 25 from both sides.
x^2=36/25. I then square rooted both sides to get 6/5, -6/5.
15. 5x^2-1=x^2. I minused x^2 from both sides.
4x^2-1=0. I added 1 to both sides.
4x^2=1. I divided 4 to both sides.
x^2=1/4. I square rooted both sides to get 1/2, -1/2.
16. 16x^2-34=15. I added 34 to both sides.
16x^2=49. I divided 16 to both sides.
x^2=49/16. I square rooted both sides to get 7/4, -7/4.
If you plug those answers into the equations. It should equal what it is equal to.
