Solve d= n(n-3)/2

Evaluate

d = n \times \frac{n - 3}{2}

Simplify

d = \frac{n ( n - 3 )}{2}

Write the quadratic function in standard form

d = \frac{1}{2} n^{2} - \frac{3}{2} n

Find the n -coordinate of the vertex by substituting a= \frac{1}{2} and b= - \frac{3}{2} into n = - \frac{b}{2 a}

n = - \frac{- \frac{3}{2}}{2 \times \frac{1}{2}}

Solve the equation for n

n = \frac{3}{2}

Find the y-coordinate of the vertex by evaluating the function for n = \frac{3}{2}

d = \frac{1}{2} (\frac{3}{2})^{2} - \frac{3}{2} \times \frac{3}{2}

Calculate

More Steps

d = - \frac{9}{8}

Solution

(\frac{3}{2}, - \frac{9}{8})

Function