Question

If p and q are the zeroes of the quadratic polynomial 2x2 + 3x + 5. Find the value of 1/p+ 1/q.​

Answer 1

Given :

p, q are the root of the quadratic polynomial 2x² + 3x + 5

To find :

Value of 1 / p + 1 / q

Solution :

Quadratic polynomial - 2x² + 3x + 5

Comparing the given polynomial with ax² + bx + c we get,

• a = 2
• b = 3
• c = 5

Sum of zeroes = p + q = - b / a = - 3 / 2

Product of zeroes = pq = c / a = 5 / 2

Now, 1 / p + 1 / q

= ( q + p) / pq

= ( p + q) / pq

= ( - 3 / 2 ) / ( 5 / 2 )

= - 3 / 5

Therefore the vale of 1 / p + 1 / q is - 3 / 5.