Question

If a and b are zeroes of quadratic polynomial 2x² + 5x + k, find the value such that (a+b)²-ab=24

Answer 1

Answer:

k = 71/2

Step-by-step explanation:

2x²+5x+k

a+b=-5/2

ab=k/2

(a+b)²-ab =  24

(-5/2)²-k/2  = 24

25/4-k/2 = 24

k/2 = 25/4-24

k/2 = 71/4

k = 71/2