SOLUTION: Please help me solve this problem Solve the inequality 3x^2-2x-1>- (greater than or equal) 0

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Question 63744: Please help me solve this problem
Solve the inequality
3x^2-2x-1>- (greater than or equal) 0
Found 2 solutions by praseenakos@yahoo.com, rahman:
Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
QUESTION

3x^2-2x-1>- (greater than or equal) 0

ANSWER:
Here we can use quadratic formula to solve the problem.


If the quadratic equation is ax^2 + bx + c >-0,


then the solution is given by (please read the inequality as greater than or equal to)


x+%3E+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+





Now compare the given equation with the standard equation,
Then we have,
a=3
b= -2
c= -1

Now input all these values in the formula.
Then it comes like this,

x+%3E+%28-%28-2%29%2B-+sqrt%28+%28-2%29%5E2-4%2A3%2A%28-1%29+%29%29%2F%282%2A3%29+



x+%3E+%28%282%29%2B-+sqrt%28+4%2B12+%29%29%2F6+



x+%3E+%28%282%29%2B-+sqrt%28+16%29%29%2F6+


x+%3E+%28+2+%2B-+4+%29%2F6+

==> x> ( 2 + 4 ) / 6 or x > (2 - 4)/6
==> x > 6/6 or x > -2/6
==> x > 1 or x > -1/6


Which is the solutuion for your question.


Hope you understood.

Regards.

praseenakos@yahoo.co.in













Answer by rahman(247) About Me  (Show Source):