Advertisements
Advertisements
प्रश्न
Find the tow consecutive positive odd integer whose product s 483.
Advertisements
उत्तर
Let the two consecutive positive odd integers be x and (x +2).
According to the given condition,
`x(x+2)=483`
⇒`x^2+2x-483=0`
⇒`x^2+23x-21x-483=0`
⇒`x(x+23)-21(x+21)=0`
⇒`(x+23) (x+21)=0`
⇒`x+23=0 or x-21=0`
⇒`x=-23 or x=21`
∴ x =21 (x is a positive odd integer)
When `x=21`
`x+2=21+2=23`
Hence, the required integers are 21 and 23.
APPEARS IN
संबंधित प्रश्न
Solve for x : `(x+1)/(x-1)+(x-1)/(x+2)=4-(2x+3)/(x-2);x!=1,-2,2`
In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects
Solve the following quadratic equations by factorization:
a2x2 - 3abx + 2b2 = 0
Solve the following quadratic equations by factorization:
`(x-3)/(x+3)-(x+3)/(x-3)=48/7` , x ≠ 3, x ≠ -3
Solve:
`(x/(x + 2))^2 - 7(x/(x + 2)) + 12 = 0; x != -2`
`4x^2+4sqrt3x+3=0`
The sum of the squares of two consecutive positive integers is 365. Find the integers.
Solve the following quadratic equations by factorization: \[\frac{16}{x} - 1 = \frac{15}{x + 1}; x \neq 0, - 1\]
If ax2 + bx + c = 0 has equal roots, then c =
If a and b are roots of the equation x2 + ax + b = 0, then a + b =
Solve the following equation: `("a+b")^2 "x"^2 - 4 "abx" - ("a - b")^2 = 0`
The hypotenuse of a grassy land in the shape of a right triangle is 1 m more than twice the shortest side. If the third side is 7m more than the shortest side, find the sides of the grassy land.
The area of right-angled triangle is 600cm2. If the base of the triangle exceeds the altitude by 10cm, find the dimensions of the triangle.
Solve equation using factorisation method:
(2x – 3)2 = 49
Solve the equation 3x² – x – 7 = 0 and give your answer correct to two decimal places.
A shopkeeper purchases a certain number of books for Rs. 960. If the cost per book was Rs. 8 less, the number of books that could be purchased for Rs. 960 would be 4 more. Write an equation, taking the original cost of each book to be Rs. x, and Solve it to find the original cost of the books.
Two pipes running together can 1 fill a cistern in 11 1/9 minutes. If one pipe takes 5 minutes more than the other to fill the cistern find the time when each pipe would fill the cistern.
Solve the following quadratic equation by factorisation:
x2 - 3x - 10 = 0
Solve the following equation by factorization
`(1)/(x + 6) + (1)/(x - 10) = (3)/(x - 4)`
The length of a rectangle exceeds its breadth by 5 m. If the breadth were doubled and the length reduced by 9 m, the area of the rectangle would have increased by 140 m². Find its dimensions.
