The correct option is C −12,−52
We know that, for a quadratic equation ax2+bx+c=0,Sum of roots = α+βand product of roots = αβwhere α and β are the roots of theequation.
Also, α+β=−ba and αβ=ca
On comparing 2x2+x−5=0 with standard form of quadratic equation ax2+bx+c=0, we get a=2,b=1,c=−5
⇒α+β=−ba=−12
⇒αβ=ca=−52