Question

1. If a and B are the zeroes of the polynomial 2x2 - 4x + 5, then find the value of
(1) a2 + b2
(2) 1/a + 1/b​

Answer 1

Answer:

Step-by-step explanation:

Sum of roots, a + b = -(-4)/2 = 2

Product of roots, ab = 5/2

1) a² + b² = (a + b)² - 2ab ( ∵ We know (x+y)² = x² + y² + 2xy - Algebra identity)

 => (2)² - 2*5/2

 => 4 - 5

 => -1

2) 1/a + 1/b  = a + b/ ab = 2/(5/2) = 4/5.