Question

5X${}^2$ - 18X + 9 = 0

20Y${}^2$ - 13Y + 2 = 0

• A. (a)
• B. (c)
• C. (d)
• D. (e)

Answer 1

The correct option is A

(a)

5x${}^2$ - 18x + 9 = 0

5x${}^2$ - 15x- 3x + 9 = 0

5x[x - 3] - 3[x - 3] = 0

[x - 3][5x - 3] = 0

x = +3, +3/5

20y${}^2$ - 13y + 2 = 0

20y${}^2$ - 8y - 5y + 2 = 0

4y[5y - 2] - 1[5y - 2] = 0

[5y - 2][4y - 1] = 0

y = +2/5, + 1/4

x = +3, +3/5 So, clearly, x$>$ y