निम्नलिखित प्रश्न

For what values of k does the equation x² – (k+1)x + k = 0 have two distinct real roots, both greater than 1?

The roots of x² − (k+3)x + (3k − 1) = 0 are real and distinct, and the larger root exceeds the smaller by 5. Find k.

I. 12 x ² - 3 x – 15 = 0

II. 2 y² + 12

I. 15y² + 26y + 8 = 0

II. 20x² + 7x – 6 = 0

I. x² - 33x + 270 = 0

II. y² - 41y + 414 = 0

(i) 2x² + 14x - 16 = 0

(ii) y² – y – 12 = 0

I. 2y² - 37y + 143 = 0

II. 2x² + 15x – 143 = 0

I. 7x² + 27x + 18 = 0

II. 19y² - 27y + 8 = 0

I. 2x² - 7x + 3 = 0

II. 8y² - 14y + 5 = 0