Solve the following quadratic equation for x: |
\[9{{x}^{2}}-6{{b}^{2}}x-({{a}^{4}}-{{b}^{4}})=0\] |
All red face cards are removed from a pack of playing cards. The remaining cards were well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is: |
(i) a red card |
(ii) a face card |
(iii) a card of clubs |
A bag contains 25 cards numbered from 1 to 25. A card is drawn at random from the bag. Find the probability that the number on the drawn card is: |
(i) divisible by 3 or 5 |
(ii) a perfect square number. |
Solve for x: |
\[\frac{3}{x+1}+\frac{4}{x-1}=\frac{29}{4x-1};x\ne 1,-1,\frac{1}{4}\] |
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