Advertisements
Advertisements
प्रश्न
Solve the following quadratic equations by factorization:
6x2 + 11x + 3 = 0
उत्तर
We have been given
6x2 + 11x + 3 = 0
6x2 + 9x + 2x + 3 = 0
3x(2x + 3) + 1(2x + 3) = 0
(2x + 3) (3x + 1) = 0
2x + 3 = 0
2x = -3
x = -3/2
or,
3x + 1 = 0
3x = -1
x = -1/3
Hence, x = -1/2 or x = -1/3
APPEARS IN
संबंधित प्रश्न
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.
`3x^2-x-2=0`
The sum of two natural numbers is 20 while their difference is 4. Find the numbers.
If the equation ax2 + 2x + a = 0 has two distinct roots, if
If \[x^2 + k\left( 4x + k - 1 \right) + 2 = 0\] has equal roots, then k =
Solve the following equation : `"x"^2 - 4 sqrt 2 "x" + 6 = 0 `
Solve equation using factorisation method:
x(x – 5) = 24
In each of the following, determine whether the given values are solution of the given equation or not:
`x = 1/x = (13)/(6), x = (5)/(6), x = (4)/(3)`
Solve the following equation by factorization
`(2)/(x^2) - (5)/x + 2 = 0, x ≠ 0`
Find the roots of the following quadratic equation by the factorisation method:
`3x^2 + 5sqrt(5)x - 10 = 0`