If a and b are the roots of the equation x2 – 9x + 20 = 0, find the value of a2 + b2 + ab?

Quadratic Equations 18/09/2020

A. -21
B. 1
C. 61
D. 21

Explanation:

a2 + b2 + ab = a2 + b2 + 2ab – ab
i.e., (a + b)2 – ab
from x2 – 9x + 20 = 0, we have
a + b = 9 and ab = 20. Hence the value of required expression (9)2 – 20 = 61.

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