Advertisements
Advertisements
प्रश्न
(x - 4) (2x + 3 ) = 2x²
उत्तर
(x - 4) (2x + 3 ) = 2x²
⇒ x (2x + 3) - 4 (2x + 3) = 2x²
⇒ 2x² + 3x - 8x - 12 = 2x²
⇒ 2x² + 3x - 8x - 2x² = 12
⇒ - 5x = 12
⇒ x = `12/-5 = (-12)/5`
∴ x = `-2 2/5`
APPEARS IN
संबंधित प्रश्न
Solve the following equation:
3(x + 1) = 12 + 4(x - 1)
6 – 5m – 1 + 3m = 0
Solve: `1/2"m" + 3/4"m" - "m" = 2.5`
Solve: `"3a"/4 + "a"/6 = 66`
A number is as much greater than 35 as is less than 53. Find the number.
The length of a rectangular plot exceeds its breadth by 5 m. If the perimeter of the plot is 142 m, find the length and the breadth of the plot.
Solve the following equation for the unknown: `(1.5y)/(3) = (7)/(2)`
Solve the following equations for the unknown: `(3)/(x + 1) - (x - 6)/(x^2 - 1) = (12)/(x - 1)`
Solve the following equations for the unknown: `sqrt(x - 5)` = 3
Two numbers are in the ratio 11:13. If the smaller number is 286, find the bigger one.
A steamer goes in downstream from one port to another in 4hours. It covers the same distance in upstream in 5 hours. If the speed of the stream be 2 km/h, find the distance between the two ports.
A police car is ordered to chase a speeding car which is 5 km ahead and is travelling at an average speed of 80 km/h. The police car is running at an average speed of 100 km/h. How long it take for the police car to overtake the speeding car?
A and B together can complete a piece of work in 6 days. A can do it alone in 10 days. Find the number of days in which B alone can do the work.
In a factory a worker is paid Rs. 20 per hour for normal work and double the rate for overtime work. If he worked for 56 hours in a week, find the number of hours of his normal work if he receives Rs. 1440 in all.
A 12 litre solution is `33(1)/(2)` acid. How much water must be added to get the solution having 20% acid?
A man leaves half his property to his wife, one-third to his son, and the remaining to his daughter. If the daughter's share is Rs. 15000, how much money did the man leave? How much money did his wife get?
A's age is six times that of B's age. 15 years hence A will be three times as old as B; find their ages.
A man is double his son's age. Twenty years ago, he was six times his son's age. Find the present age of the father and the son.
In an election there were two candidates. A total of 9791 votes were polled. 116 votes were declared invalid. The successful candidate got 5 votes for every 4 votes his opponent had. By what margin did the successful candidate win?
How many kilograms of tea at Rs 50 per kg should be mixed with 35 kg of tea costing Rs 60 per kg so as to sell the mixture at Rs 57 per kg without gaining or losing anything in transaction?