SOLUTION: HI... I cannot figure this out... Solve the equation by using athe quadratic formula. Give only real number solutions.... 4n ^ 2 = -6n - 1

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: HI... I cannot figure this out... Solve the equation by using athe quadratic formula. Give only real number solutions.... 4n ^ 2 = -6n - 1      Log On


   

Question 31462: HI... I cannot figure this out...
Solve the equation by using athe quadratic formula. Give only real number solutions....
4n ^ 2 = -6n - 1
Answer by blubunny01(20) About Me  (Show Source):
You can put this solution on YOUR website!
First, you need to put the equation in standard form:
4n%5E2+=+-6n+-+1

4n%5E2+%2B+6n+%2B+1+=+0

Now, you can use the quadratic formula to solve this.
n+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

n+=+%28-6+%2B-+sqrt%28+6%5E2-4%2A4%2A1+%29%29%2F%282%2A4%29+

n+=+%28-6+%2B-+sqrt%28+36-16+%29%29%2F8+

n+=+%28-6+%2B-+sqrt%28+20+%29%29%2F8+



Now, to look at your two solutions:

n%5B1%5D+=+%28-6+%2B+sqrt%28+20+%29%29%2F8+
n%5B1%5D+=+-0.19098300562505257589770658281718

n%5B2%5D+=+%28-6+-+sqrt%28+20+%29%29%2F8+
n%5B2%5D+=+-1.3090169943749474241022934171828