Question

divide 26 into 2 parts whose sum of squares is 346

Answer 1

26 can be divided as 15 and 11. sum of squares of 15 and 11 is 225 and 121 , which total gives 346.

Answer 2

Let one part be x and the other be 26-x
ACQ,
X^2 + (26-X)^2 = 346
X^2 + x^2 + 676 - 52x = 346
2x^2 - 52x + 330 = 0
=> x^2 - 26x + 165 = 0
X^2 - 15x - 11x + 165 =0
X ( x - 15) - 11x (x - 15) =0
(x-15)(x-16) =0
X = 15
X = 11
Therefore the two parts of 26 are 15 and 11
{15 + 11 = 26}