find the value of of n for which 1/2n^2-13n 15 is not defined?
To find the value of 'n' for which the expression 1/2n^2 - 13n + 15 is not defined, we need to identify the conditions under which the expression is undefined.
The given expression is a polynomial, specifically a quadratic equation, which is defined for all real values of 'n' except for those values that make the denominator zero. In this case, the denominator is 2n^2 - 13n + 15.
To determine the values of 'n' that make the denominator zero, we need to solve the equation 2n^2 - 13n + 15 = 0.
Let's solve the equation:
Step 1: Factor the quadratic equation.
The quadratic equation 2n^2 - 13n + 15 can be factored into (2n - 3)(n - 5) = 0.
Step 2: Set each factor equal to zero and solve for 'n'.
Setting 2n - 3 = 0, we find n = 3/2.
Setting n - 5 = 0, we find n = 5.
Therefore, the expression 1/2n^2 - 13n + 15 is not defined when n = 3/2 or n = 5.