Question

1. If a and B are the zeroes of the polynomial 5x ^ 2 - 7x + 10 , then the value of alpha ^ 2 + beta ^ 2 .​

Answer 1

Answer:

98/100 or 0.98

Step-by-step explanation:

5x^2 - 7x + 10 = 0

alpha = 7 - $\sqrt249$/10

beta = 7 +  $\sqrt249$/10

alpha^2 + beta^2 = 49-249/100 + 49 + 249/100

alpha^2 + beta^2 = -200/100 + 298/100

alpha^2 + beta^2 = 98/100 or 0.98