SOLUTION: Find all the solutions to x^2 + 6x + 13 = -5x^2 - 17x - 18.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Find all the solutions to x^2 + 6x + 13 = -5x^2 - 17x - 18.      Log On


   

Question 1209256: Find all the solutions to x^2 + 6x + 13 = -5x^2 - 17x - 18.
Found 2 solutions by ikleyn, mccravyedwin:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Reduce to the standard form quadratic equation.

Then apply the quadratic formula to find all its roots.


On solving quadratic equations using the quadratic formula,  see the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
in this site.




Answer by mccravyedwin(407) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2+%2B+6x+%2B+13+=+-5x%5E2+-+17x+-+18

6x%5E2%2B23x%2B31%22%22=%22%220



x+=+%2823+%2B-+sqrt%28529-744%29%29%2F12+

x+=+%2823+%2B-+sqrt%28-215%29%29%2F12+

The square root of a negative number is imaginary, and is
i times the square root of its opposite

x+=+%2823+%2B-+i%2Asqrt%28215%29%29%2F12+

So there are two complex imaginary solutions:

23%2F12+%2B+expr%28sqrt%28215%29%2F12%29%2Ai and 23%2F12+-+expr%28sqrt%28215%29%2F12%29%2Ai

Edwin