If and has a common root

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

3x^2 - 17x + 10 = 0

and

x^2 - 5x + m = 0

has a common root, then sum of all possible real values of '

m

' is : (a) 0 (b)

-\frac{26}{9}

(c)

\frac{26}{9}

(d)

\frac{26}{3}