The part of MB plough that resists the side pressure

If 5x - 13xy + 6y = 0, find x : y.

{(21/20) + (20/21)}² - {(21/20) - (20/21)}² = ?

22% of ‘x’ is equal to 66% of ‘y’, then find the value of x: y.

If both the roots of x ²  + kx + 49 = 0 are real and equal, then find the value of 'k'.

If p = 24 - q - r and pq + r(q + p) = 132, then find the value of (p² + q² + r²).

If x = 35, then the value of x⁵ - 36x⁴ + 36x³ - 36x² + 36x - 1 is

Find the values of 'a' and 'b', so that the polynomial x³ − ax² − 13x + b has (x−1) and (x+3) as factors:

If {x + (1/x)} = 4, then find the value of {x² + (1/x²)}

If x ≠ 0 and x − 1/x = 5, find:

(i) x² + 1/x²

(ii) x³ − 1/x³

If 3y-3/y=18 then find the value of y² +1/y²