Which of the following quadratic equations has real roots?

A quadratic equation : $$ax^2 + bx + c = 0$$ has real roots iff Discriminant, $$D = b^2 - 4ac \geq 0$$

(A) : $$4x^{2}-3x+6=0$$

=> D = $$(-3)^2 - 4(4)(6) = 9 - 96 = -87$$

(B) : $$2x^{2}+7x+6=0$$

=> D = $$(7)^2 - 4(2)(6) = 49 - 48 = 1$$

(C) : $$x^{2}-2x+4=0$$

=> D = $$(-2)^2 - 4(1)(4) = 4 - 16 = -12$$

(D) : $$3x^{2}-4x+3=0$$

=> D = $$(-4)^2 - 4(3)(3) = 16 - 36 = -20$$

Thus, the equation : $$2x^{2}+7x+6=0$$ has real roots.