Question
In a municipal election between two candidates, 12% of the
total votes were declared invalid. Candidate 'X' secured 60% of the valid votes. If candidate 'Y' received 15,456 valid votes, then find the total number of votes polled.Solution
ATQ,
Let the total number of votes be '100n'
Number of valid votes = 0.88 × 100n = '88n'
Number of valid votes received by 'Y' = 0.40 × 88n = '35.2n'
So, 35.2n = 15,456
Or, 'n' = 439
Therefore, total number of votes = 439 × 100 = 43,900
I. 24x² - 58x + 23 = 0
II. 20y² + 24y – 65 = 0
I. 6x2 + 23x + 10 = 0
II. 2y2 - 3y - 5 = 0
I. p2 – 2p – 15 = 0
II. q2 + 4q – 12 = 0
Equation 1: x² + 16x + 63 = 0
Equation 2: y² + 10y + 21 = 0
Solve: x² − 7x + 12 = 0
I. 15y2 + 4y – 4 = 0
II. 15x2 + x – 6 = 0
I. x² + 4x + 4 = 0
II. y² - 8y + 16 = 0
I. 18p²- 21p + 6 = 0   Â
II. 16q² - 24q +9 = 0
I. 5x² - 24 x + 28 = 0  Â
II. 4y² - 8 y - 12= 0  Â
If x + 1/x = 3, find x² + 1/x².