(a) Mr John paid N4,800.00 in N1.00 ordinary shares of a company which sold at N2.50 per share. If dividend was declared at 25k per share, how much dividend did he get?
(b) Using the method of completing the square, solve \(\frac{1 – x}{x} + \frac{x}{1 – x} = \frac{5}{2}\)
Explanation
(a) The quantity of shares bought \(\frac{8400}{2.5}\) = 3360 shares. Therefore, the dividend the man received is 3360 X 0.25 = N840.00.
(b) Clearing fractions and simplifying they got the quadratic equations 9x\(^2\) - 9x + 2 = 0. Next, dividing by 9 and adding the square of the coefficient of x to both sides yields (x - \(\frac{1}{2}\))\(^2\) = \(\frac{1}{4} - \frac{2}{9}\).
Then, taking square root and solving for x
To obtain x = \(\frac{2}{3}\) or x = \(\frac{1}{3}\)