If α and β are the roots of x2 - ax + b2 = 0, then α2 + β2 is equal to

Question

If α and β are the roots of x2 - ax + b2 = 0, then α2 + β2 is equal to (A) a2-2b2 (B) 2a2 -b2 (C) a2 - b2 (D) a2 + b2

Tardigrade Admin · Accepted Answer

Since, α and β are the roots of x2-a x+b2=0. α+β=(-(-a)/1)=a and α β=(b2/1)=b2 Now, α2+β2 =(α+β)2-2 α β =a2-2 b2

Q. If $α$ and $β$ are the roots of $x^{2} - a x + b^{2} = 0$ , then $α^{2} + β^{2}$ is equal to