Question

Without actual multiplication , evaluate the following (a)10.2square (b)0.3square (c)58square

Answer 1

let the two parts be x and yx + y = 29 ⇒ y = 29 - xso according to question x² + y² = 425⇒ x² + (29 - x)² = 425⇒ x² + 841 + x² - 58x = 425⇒2x² - 58x + 416 = 0⇒ x² - 29x + 208 = 0⇒ x² - 13x - 16x + 208 = 0⇒ x(x - 13) - 16(x - 13) = 0⇒ (x - 16)(x -  13) = 0 so x = 16 or 13  ANSWER