Advertisements
Advertisements
Question
x (x + 5) = x² +x + 32
Solution
x (x + 5) = x² +x + 32
⇒ x² + 5x = x² + x + 32
⇒ x² + 5x - x² - x = 32
⇒ 4x = 32
⇒ x = `32/4 = 8`
∴ x = 8
APPEARS IN
RELATED QUESTIONS
Solve the following equation:
3a - 4 = 2(4 - a)
Solve the following equation:
14 = 7m
Solve the following equation:
`7/10`x + 6 = 41
Solve: `(2"x" + 1)/("3x" - 2) = 1 1/4`
A man has ₹ x from which he spends ₹6. If twice of the money left with him is ₹86, find x.
Solve the following equations for the unknown:
(3x - 1)2 + (4x + 1)2 = (5x + 1)2 + 5
Solve the following equations for the unknown: 3(3x - 4) -2(4x - 5) = 6
Solve the following equation for the unknown: `(4x)/(27) = (8)/(9)`
Solve the following equation for the unknown: `x/(2) + x/(4) + x/(8)` = 7
Solve the following equation for the unknown: `(4)/(5) x - 21 = (3)/(4)x - 20`
Solve the following equations for the unknown: `(1)/(2)(y - 1/3) + (1)/(4)(2y + 1/5) = (3)/(4)(y - 1/12)`
Find two consecutive even numbers, whose sum is 38.
In a two digit number, the ratio of the digits at the unit's place and the ten's place is 3:2. If the digits are reversed, the resulting number is 27 more than the original number. Find the two digit number.
A takes 4hours more than B in walking 30 km. If A doubles his speed, he will take 1hr less than B. Find the speeds of A and B.
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'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.
5 years ago, the age of a man was 7 times the age of his son. The age of the man will be 3 times the age of his son in 5 years from now. How old are the man and his son now?
A boy played 100 games, gaining Rs 50 on each game that he won, and losing Rs 20 for each game that he lost. If on the whole he gained Rs 800, find the number of games that he won.
In a shooting competition a marks man receives 50 paise if he hits the mark and pays 20 paise if he misses it. He tried 100 shots and was paid Rs 29. How many times did he hit the mark?
A 90 kg solution has 10% salt. How much water must be evaporated to have the solution with 20% salt?
