Question
I. x2 + 25x + 154 = 0 II.
y2 + 27y + 181 = 0 In the following questions, two equations numbered I and II are given.Β You have to solve both the equations and give answer.Solution
I. x2Β + 25x + 154 = 0 => x2Β + 14x + 11x + 154 = 0 => x(x + 14) + 11(x + 14) = 0 => (x + 11) (x + 14) = 0 => x = -11, -14 II. y2Β + 27y + 181 = 0 On solving my qudratic equation formlula we get:-Β x = (- b Β± β(b2Β - 4ac)) /2a. Hence, x = y or the relationship cannot be established.
The population of a town increased by 20% in the first year, decreased by 10% in the second year and again increased by 25% in the third year. If the po...
A no. is multiplied by 35 instead of being multiplied by 53. What % is the result of the required correct value?
A girl spent 16% of her monthly income on clothing. Of the remaining, she spent on travel and food in the ratio of 5:2. If the difference of the income ...
- The price of fuel increases by 10%, and a person reduces his usage by 5%. Find the percentage increase or decrease in his expenditure.
- Anil's profits fell from Rs. 60,500 to Rs. 49,210. Find the percent reduction in his profits.
In class βCβ, the number of girls is 25% more than that of boys while in class βDβ the number of girls is 40% more than that of boys. If the tot...
If the length of a rectangle is increased by 60%, what would be the percentage decrease (correct to the nearest integer) in the width to maintain the sa...
- The income of βRβ is 25% more than that of βSβ. R saves 45% and S saves 30% of their respective incomes. If the difference in their expenses is Rs....
In an examination, the passing percentage is 35%. 'P' scores 8% less than the passing marks, and 'Q' scores 25% less than 'P'. What percentage less (up ...
In an election between two candidates βRβ and βSβ, βRβ secured 54% of the total votes and won by 1,200 votes. Find the number of votes secu...