The equation has two real roots

MATHEMATICS · Single correct · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

The equation

-2x^2 + 7x + 3 = 0

has two real roots. Which of the following is the smaller root? (a)

\dfrac{7 + \sqrt{73}}{4}

(b)

\dfrac{-7 + \sqrt{73}}{4}

(c)

\dfrac{7 - \sqrt{73}}{4}

(d)

\dfrac{7 - \sqrt{73}}{2}