SOLUTION: please help me solve this problem. I have to solve using quadratic formula 10k^2+200k+937.5=0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: please help me solve this problem. I have to solve using quadratic formula 10k^2+200k+937.5=0      Log On


   

Question 878454: please help me solve this problem. I have to solve using quadratic formula
10k^2+200k+937.5=0
Found 2 solutions by josgarithmetic, Edwin McCravy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
General solution to a quadratic formula is the best way for the example. Just fill-in the formula and simplify.

k=%28-200%2B-+sqrt%28200%5E2-4%2A10%2A937.5%29%29%2F%282%2A10%29

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
10k2+200k+937.5 = 0

a=10, b=200, c=937.5

k%22%22=%22%22%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29+ 

k%22%22=%22%22%28-%28200%29+%2B-+sqrt%28+200%5E2-4%2810%29%28937.5%29+%29%29%2F%282%2810%29%29+

k%22%22=%22%22%28-200+%2B-+sqrt%2840000-37500+%29%29%2F%2820%29+ 

k%22%22=%22%22%28-200+%2B-+sqrt%282500%29%29%2F%2820%29+

k%22%22=%22%22%28-200+%2B-+50%29%2F%2820%29+

Use the plus sign

k%22%22=%22%22%28-200+%2B+50%29%2F%2820%29+

k%22%22=%22%22%28-150%29%2F%2820%29+

k%22%22=%22%22-15%2F2+ or -7.5, that's one solution.

Use the minus sign

k%22%22=%22%22%28-200+-+50%29%2F%2820%29+

k%22%22=%22%22%28-250%29%2F%2820%29+

k%22%22=%22%22-25%2F2+, or -12.5 that's the other solution.

Edwin