Advertisements
Advertisements
प्रश्न
Solve equation using factorisation method:
(x + 1)(2x + 8) = (x + 7)(x + 3)
Advertisements
उत्तर
(x + 1)(2x + 8) = (x + 7)(x + 3)
⇒ 2x2 + 8x + 2x + 8 = x2 + 3x + 7x + 21
⇒ 2x2 + 10x + 8 = x2 + 10x + 21
⇒ x2 – 13 = 0
⇒ `x^2 - (sqrt13)^2 = 0`
⇒ `(x + sqrt13)(x -sqrt13) = 0`
If `x + sqrt13 = 0` or `x - sqrt13 = 0`
⇒ `x = -sqrt13` or `x = sqrt13`
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
(2x + 3)(3x − 7) = 0
Find the consecutive numbers whose squares have the sum 85.
A passenger train takes one hour less for a journey of 150 km if its speed is increased by 5 km/hr from its usual speed. Find the usual speed of the train.
Solve the following quadratic equation by factorisation.
x2 – 15x + 54 = 0
Solve the following equation : `"ax"^2 + (4"a"^2 - 3"b")"x" - 12"ab" = 0`
A two digit number is four times the sum and 3 times the product of its digits, find the number.
Solve the following quadratic equation by factorisation:
x2 + 3x - 18 = 0
A two digit positive number is such that the product of its digits is 6. If 9 is added to the number, the digits interchange their places. Find the number.
An aeroplane flying with a wind of 30 km/hr takes 40 minutes less to fly 3600 km, than what it would have taken to fly against the same wind. Find the planes speed of flying in still air.
Solve the following equation by factorisation :
`sqrt(x + 15) = x + 3`
