SOLUTION: solve the equation 6n2(squared) - 19n + 15 =0

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Question 152004: solve the equation
6n2(squared) - 19n + 15 =0

Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
This is an quadratic equation.
we can solve it by either factoring it or using the quadratic formula.
BY FACTORING:
6n^2 - 19n + 15 = 0
(2n - 3)(3n - 5) = 0
So
n = 3/2 or n = 5/3
BY USING THE QUADRATIC FORMULA
here a = 6, b = -19 and c = 15
Substituting into the formula:
n+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
we have
n+=+%28-%28-19%29+%2B-+sqrt%28+%28-19%29%5E2-4%2A6%2A15+%29%29%2F%282%2A6%29+
n+=+%28-%28-19%29+%2B-+sqrt%28+1+%29%29%2F%282%2A6%29+
n+=+%28-%28-19%29+%2B-+1%29%2F%282%2A6%29+
n = (19 + 1)/12 = 5/3 or
n = (19 - 1)/12 = 3/2