Question

if a and b are the roots of equation X2+3x+2=0 find the value of A2+b2​

Answer 1

Step-by-step explanation:

p(x)=x²+3x+2=0

S=3

P=2

→x²+2x+x+2=0

x(x+2)+1(x+2)=0

x+1=0

x=-1(alpha-root1)

x+2=0

x=-2(beta-root2)

A²+B²=(a+b)²-2ab

→((-1)+(-2))²-2×(-1×-2)

→-3-4=-7

A²+B²=-7