I am doing a practice quiz, and I need help!!! I am doing a refresher so, I can get ready for math...?

Question

Fill in the blank with always, sometimes, or nerver:
1. An equation of the form x squared=k ___, has real number solutions.
2. A quadraic equation can ___ be solved by completing the square.
3. if the value of b sqaured - 4ac is negative, the equation ax squared + bx+c =0 ____ has real number solutions.
4. The quadraic formula a can ___ be used to solve quadraic equations.

True of False for the following questions:
5. Completing the square is used to develop the quadraic formula.
6. The quadraic formula will not work on the equation x squared - 3=0
7. If a =2, b=-3, and c=-4, then b squared - 4ac =41.
8. if the discriminant is zero, then there are no imaginary solutions.
9. to solve 2x-x squared=0 by the quadraic formula, let a=-1,b=2, and c=0.
10. Two numbers have the sum of 6 can be represented by x and x+6.
11. Some quadraic equations have one real and one imaginary solution.
12. In a complex number system, any quadraic equation has either one or two solutions.

Answer 1

The best way to refresh is if you answer the problems. Refresh the material based on the ones you get wrong.

Edit: You've received two other answers, so far. If you don't understand the quadratic formula & complex numbers, how can you tell which answers are correct?

10. Two numbers have the sum of 6 can be represented by x and x+6.
False, why?
x + (x + 6) = 6
2x + 6 = 6
2x = 6 - 6
2x = 0
x = 0.
[-5 + 11] = 6.
if x = -5, then x+ 6 = 1.

Answer 2

1. An equation of the form x squared=k _nerver?__, has real number solutions.
2. A quadraic equation can sometimes be solved by completing the square.
3. if the value of b sqaured - 4ac is negative, the equation ax squared + bx+c =0 Jes!!!____ has real number solutions.
4. The quadraic formula a can _"But"__ be used to solve quadraic equations.

True of False for the following questions:
5. Completing the square is used to develop the quadraic formula.False
6. The quadraic formula will not work on the equation x squared - 3=0 Yea right
7. If a =2, b=-3, and c=-4, then b squared - 4ac =41. no 43
8. if the discriminant is zero, then there are no imaginary solutions. Your dead right there
9. to solve 2x-x squared=0 by the quadraic formula, let a=-1,b=2, and c=0. 29
10. Two numbers have the sum of 6 can be represented by x and x+6. there both Zero
11. Some quadraic equations have one real and one imaginary solution. Total lies
12. In a complex number system, any quadraic equation has either one or two solutions. Ive always known them to have 12 answers, but hey..Im just a maths teacher

Answer 3

Hopefully you tried to do these yourself already. Hopefully my answers are all correct:

1. Sometimes, if the equation was x squared = -1 the answer would not be real, 2 squared = k the answer would be real.
2. Sometimes, sometimes you'll need to use the quadractic formula.
3. Never, b squared -4ac is the part of the quadratic formula that must be square rooted. The square root of a negative number is never real.
4. Always, I'm pretty sure thats just what it is for..

5. True, I'm not sure how the quadratic formula was created, so this may be wrong.
6. False, a=1, b=0, c=-3, quadratic equation works just fine.
7. True, do the math and it works out.
8. True, the discriminant of an equation is b squared - 4ac, if it is zero, there is only one, real solution.
9. True
10. False, maybe x and 6 - x
11. False, quadratic equations can have 2 real solutions, 2 imaginary solutions, or 1 real solution
12. True

Answer 4

true false
6.true
7.false
8.true
9.true
10. false
11.false
12.false