SOLUTION: I need so much help with this problem. My math class is online and I have searched through all my notes and videos to see how to do it and I still do not understand it. Please help

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I need so much help with this problem. My math class is online and I have searched through all my notes and videos to see how to do it and I still do not understand it. Please help      Log On


   

Question 799255: I need so much help with this problem. My math class is online and I have searched through all my notes and videos to see how to do it and I still do not understand it. Please help
Check whether = (0.91 - sqrt(48.2981))/4.7 and = (0.91 + sqrt(48.2981))/4.7 are solutions to the equation -7.51p^2-7.03p-6.63=-7.94p-5.16p^2-11.68.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Check whether = (0.91 - sqrt(48.2981))/4.7 and = (0.91 + sqrt(48.2981))/4.7 are solutions to the equation -7.51p^2-7.03p-6.63=-7.94p-5.16p^2-11.68.
:
-7.51p^2 - 7.03p - 6.63 = -7.94p - 5.16p^2 - 11.68.
Combine like terms on the right
0 = = -7.94p + 7.03p - 5.16p^2 + 7.51p^2 - 11.68 + 6.63
0 = -.91p + 2.35p^2 - 5.05
Arrange as a quadratic equation
2.35p^2 - .91p - 5.05 = 0
Find the solutions using the quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
where x=p; a=2.35; b=-.91; c=-5.05
p+=+%28-%28-.91%29+%2B-+sqrt%28-.91%5E2-4%2A2.35%2A-5.05+%29%29%2F%282%2A2.35%29+
:
p+=+%28.91+%2B-+sqrt%28.8281-%28-47.47+%29%29%29%2F%284.7%29+
Minus a minus is a plus
p+=+%28.91+%2B-+sqrt%28.8281%2B47.47%29%29%2F%284.7%29+
:
p+=+%28.91+%2B+sqrt%2848.2981%29%29%2F4.7+
and
p+=+%28.91+-+sqrt%2848.2981%29%29%2F4.7+
:
We proved that, indeed, these are the solutions to the given equation
:
Did this makes sense to you now? CK