Question

Solve the following problem for the roots by using the quadratic formula.

2(6 - x) = x(x + 5)

Answer 1

1) Solve the following problem for the roots by completing the square.
2(6 - x) = x(x + 5)?

here's your answer:
Distributive property==> 6-2x=x squared+5x.
Isolate variables==> 6=x sq+7x.
Get everything onto on side==> 0=xsq+7x-6 (we subtracted 6 to get everything onto one side)
Quadratic formula (see the link)==> http://2.bp.blogspot.com/_V8KsSIiGjBk/SsACMEj73KI/AAAAAAAAFIU/vNtErLdchMw/s1600/Quadratic%2BFormula.gif
Substitute values and solve==> answers= -6 and 1.

2) Perform the indicated operation.
(-3 + 5i) - (7 + 9i)

Answer:
Simplify (using order of operations)==> -3+5i-7-9i==> -4i-10.

3) Use the discriminant to determine the nature of the roots of the following equation.

x2 + 2x + 5 = 0
Double root
real and rational root
real and irrational root
imaginary root

Answer:
Discriminant= -18 (which means the equation only has 1 solution)
Double root: None
Real/rational root: None
real/irrational root: none
Imaginary root: Yes, we have imaginary roots

4) Last up: -10 + 4i
4 - 4i
-10 - 4i

Answer: leave them as they are. you can't simplify them anymore.

Hope this helps!
Source(s):
http://2.bp.blogspot.com/_V8KsSIiGjBk/SsACMEj73KI/AAAAAAAAFIU/vNtErLdchMw/s1600/Quadratic%2BFormula.gif

Answer 2

it says there is a square root in the eqaution

Answer 3

ok

Answer 4

i need to have one of those in it somehow

Answer 5

@Luckyness

Answer 6

hmm you have to go with the answer whats best for you