Advertisements
Advertisements
Question
Solve the following equation by factorization
x (2x + 1) = 6
Solution
x (2x + 1) = 6
2x2 + x - 6 = 0
2x2 + 4x - 3x - 6 = 0
⇒ 2x (x + 2) - 3 (x + 2) = 0
⇒ (x + 2) (2x - 3) = 0
Either x + 2 = 0,
then x = -2
or
2x - 3 = 0,
then 2x = 3
⇒ x = `(3)/(2)`
Hence x = `-2, (3)/(2)`.
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equation by factorization method: 9x2-25 = 0
Solve the following quadratic equations by factorization:
(x − 4) (x + 2) = 0
The sum of the squares of three consecutive natural numbers as 149. Find the numbers
The difference of squares of two number is 88. If the larger number is 5 less than twice the smaller number, then find the two numbers.
A fast train takes one hour less than a slow train for a journey of 200 km. If the speed of the slow train is 10 km/hr less than that of the fast train, find the speed of the two trains.
Two pipes running together can fill a tank in `11 1/9` minutes. If one pipe takes 5 minutes more than the other to fill the tank separately, find the time in which each pipe would fill the tank separately.
If the sum and product of the roots of the equation kx2 + 6x + 4k = 0 are real, then k =
If a and b are roots of the equation x2 + ax + b = 0, then a + b =
In each of the following, determine whether the given values are solution of the given equation or not:
x2 - 3x + 2 = 0; x = 2, x = -1
Find three successive even natural numbers, the sum of whose squares is 308.
