Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
`(x + 2)/(x + 3) = (2x - 3)/(3x - 7)`
Advertisements
उत्तर
`(x + 2)/(x + 3) = (2x - 3)/(3x - 7)`
(x + 2) (3x - 7) = (2x - 3) (x + 3)
⇒ 3x2 - 7x + 6x - 14 = 2x2 + 6x - 3x - 9
⇒ 3x2 - x - 14 = 2x2 + 3x - 9
⇒ 3x2 - x - 14 - 2x2 - 3x + 9 =0
⇒ x2 - 4x - 5 = 0
⇒ x2 - 5x + x - 5 = 0
x(x - 5) + 1(x - 5) = 0
⇒ (x - 5) (x + 1) = 0
Either x - 5 = 0,
then x = 5
or
x + 1 = 0,
then x = -1
Hence x = 5, -1.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation by factorization method : `3x^2-29x+40=0`
Solve the following quadratic equations by factorization:
`a/(x - a) + b/(x - b) = (2c)/(x - c)`
Find the consecutive even integers whose squares have the sum 340.
A two digits number is such that the product of the digits is 12. When 36 is added to the number, the digits inter change their places determine the number.
The sum of two natural number is 28 and their product is 192. Find the numbers.
If the equations \[\left( a^2 + b^2 \right) x^2 - 2\left( ac + bd \right)x + c^2 + d^2 = 0\] has equal roots, then
If the sum and product of the roots of the equation kx2 + 6x + 4k = 0 are real, then k =
In each of the following determine whether the given values are solutions of the equation or not.
x2 + 6x + 5 = 0; x = -1, x = -5
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.
Which of the following are the roots of the quadratic equation, x2 – 9x + 20 = 0 by factorisation?
