Find the roots of 2x² - 15x + 28.

Correct option is B

The given equation is 2x² - 15x + 28 = 0. To find the roots, we will use the quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$​​

Here, a = 2, b = -15, and c = 28.

Calculate the discriminant (b² - 4ac).Discriminant = $$(-15)^2 - 4(2)(28) = 225 - 224 = 1$$​​

Since the discriminant is positive, the roots are real and distinct.

Apply the quadratic formula x = $$\frac{15 \pm \sqrt{1}}{2 \times 2} = \frac{15 \pm 1}{4}$$​​

The two roots are: $$x_1 = \frac{15 + 1}{4} = \frac{16}{4} = 4$$​​

​$$x_2 = \frac{15 - 1}{4} = \frac{14}{4} = 3.5$$​​

Thus, both roots are positive.

Hence, the correct answer is B) Both positive.