Advertisements
Advertisements
Question
Solve equation using factorisation method:
(x + 3)2 – 4(x + 3) – 5 = 0
Advertisements
Solution
(x + 3)2 – 4(x + 3) – 5 = 0
Let x + 3 = y
Then y2 – 4y – 5 = 0
⇒ y2 – 5y + y – 5 = 0
⇒ y(y – 5) + 1(y – 5) = 0
⇒ (y – 5)(y + 1) = 0
If y – 5 = 0 or y + 1 = 0
Then y = 5 or y = –1
⇒ x + 3 = 5 or x + 3 = –1
⇒ x = 2 or x = – 4
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
4x2 + 4bx – (a2 – b2) = 0
Solve the following quadratic equations by factorization:
`x^2-4sqrt2x+6=0`
Solve the following quadratic equations by factorization:
`1/((x-1)(x-2))+1/((x-2)(x-3))+1/((x-3)(x-4))=1/6`
Factorise : m2 + 5m + 6.
If x = 1 is a common roots of the equations ax2 + ax + 3 = 0 and x2 + x + b = 0, then ab =
Solve equation using factorisation method:
(x + 1)(2x + 8) = (x + 7)(x + 3)
Find three consecutive odd integers, the sum of whose squares is 83.
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.
2x articles cost Rs. (5x + 54) and (x + 2) similar articles cost Rs. (10x – 4), find x.
A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train.
