SOLUTION: Consider the equation x2 – 4x + 29 = 0. (a) Compute the discriminant, b2 – 4ac and state whether there is one real-number solution, or two different real-number soluti

Algebra ->  Real-numbers -> SOLUTION: Consider the equation x2 – 4x + 29 = 0. (a) Compute the discriminant, b2 – 4ac and state whether there is one real-number solution, or two different real-number soluti      Log On


   



Question 367602: Consider the equation x2 – 4x + 29 = 0.
(a) Compute the discriminant, b2 – 4ac and state whether there is one real-number solution, or two different real-number solutions, or two different imaginary-number solutions.

(b) Use the quadratic formula to find the exact solutions of the equation. Show work.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x2 – 4x + 29 = 0.
..
a=1, b = -4, c= 29
b^2-4ac= 16-116
b^2-4ac=-100
it is less than 0
so the roots are complex
...
x1=%28%284%2Bsqrt%28-100%29%29%2F2%29
x1=2+5i
x2=%28%284-sqrt%28-100%29%29%2F2%29
...
x2=2-5i
...
m.ananth@hotmail.ca