Mathematics
Divide 16 into two parts such that twice the square of the larger part exceeds the square of the smaller part by 164.
Related Questions
Find the value(s) of k for which each of the following quadratic equation has equal roots:
(i) 3kx2 = 4(kx - 1)
(ii) (k + 4)x2 + (k + 1)x + 1 = 0
Also, find the roots for that value(s) of k in each case.
Find two natural numbers which differ by 3 and whose squares have the sum 117.
Two natural numbers are in the ratio 3 : 4 . Find the numbers if the difference between their squares is 175.
Two squares have sides x cm and (x + 4) cm. The sum of their areas is 656 sq. cm. Express this as an algebraic equation and solve it to find the sides of the squares.