| 
 
 
 
Question 202112:  Can anyone help me with ANY of these problems? Please!
 
 
1. Change 0.0555... to fraction form. 
= ____
 
 
2. Simplify. The square root of 15 over the square root of 5 = _____
 
 
Solve the following problems for the roots.
 
 
3. 
(the square root of 4x+5) = 3 + (the square root of 2x-6) 
x= ___ and ___
 
 
4.  
x^2 + 10x + 25 = 16 
x= ___ and ___
 
 
5. Solve for the roots by factoring.Leave answer as an improper fraction. 
(2x^2) - x = 21 
x= ___ and ___
 
 
6. Solve for the roots by completing the square. 
(3x^2)- 12x = 9 
x= ____________
 
 
7. Solve for the roots using the quadratic formula. Leave answer as an improper fraction. 
3x^2 + 11x - 4 = 0 
x= ___ and ___
 
 
8. Solve for the roots using the quadratic formula. 
2(6-x) = x(x+5) 
x= ___________
 
 
9. Use the given equation and associated roots to perform the following exercise.
 
3x^2 + 11x - 4 = 0 and root1 = - 4 , root2 = (1/3)
 
Identify a, b, and c. (Hint: you may have to arrange the equation in the form ax2 + bx + c = 0.)
 
a =__ b = __ c = __ 
 
 
10. Use the given equation and associated roots to perform the following exercise.
 
3x^2 + 11x - 4 = 0 and root1 = - 4 , root2 = (1/3)
 
The value of the fraction below will be: -b/a 
=___/____
 
 
11. Use the given equation and associated roots to perform the following exercise.
 
3x^2 + 11x - 4 = 0 and root1 = - 4 , root2 = (1/3)
 
root1 + root2 = -4 + (1/3)= ______
 
 
12. Use the given equation and associated roots to perform the following exercise.
 
3x^2 + 11x - 4 = 0 and root1 = - 4 , root2 = (1/3) 
 
The sum of the roots is the same as: ___ /___
 
 
13. Use the given equation and associated roots to perform the following exercise.
 
3x^2 + 11x - 4 = 0 and root1 = - 4 , root2 = (1/3)
 
c/a = ___ /___
 
 
14. Use the given equation and associated roots to perform the following exercise.
 
3x^2 + 11x - 4 = 0 and root1 = - 4 , root2 = (1/3) 
 
root1 x root2 = (-4) x (1/3) = ____ 
 
 
15. Use the given equation and associated roots to perform the following exercise.
 
3x^2 + 11x - 4 = 0 and root1 = - 4 , root2 = (1/3)
 
The product of the roots is the same as: ____ /____
 
 
16. Use the discriminant to determine the nature of the roots of the following equation.
 
y^2 - 5y - 3 = 0
 
Which best fits?
 
Double root 
real and rational root 
real and irrational root 
imaginary root 
 
 
17. Use the discriminant to determine the nature of the roots of the following equation. 
 
x^2 + 2x + 5 = 0
 
Which best fits?
 
Double root 
real and rational root 
real and irrational root 
imaginary root 
 
 
18. Simplify the following algebraic expression, using " i" in the final answer.
 
The square root of 12 / the square root of -6 = the square root of ___ /___
 
 
19. Simplify the following algebraic expression.
 
(2 + the square root of -3 / 2) (2 - the square root of -3 / 2)
 
= _________ 
 Answer by rfer(16322)      (Show Source): 
You can  put this solution on YOUR website! Here are the first three. Hope that gets you started. 
1) 555/10000 
2) square the equation=15/5=3 
3) square the equation 
4x+5=9+2x-6 
2x=-2 
x=-1 
  | 
 
  
 
 |   
 
 |   
 |  |