Advertisements
Advertisements
प्रश्न
Solve the following equation:
`(x - 1)/(2x + 1) + (2x + 1)/(x - 1) = 5/2 , x ≠-1/2`
Advertisements
उत्तर
`(x - 1)/(2x + 1) + (2x + 1)/(x - 1) = 5/2`
`(("x" - 1)^2 + (2"x" + 1)^2)/((2"x" + 1)("x" -1)) = 5/2`
`(("x"^2 - 2"x" + 2) + (4"x"^2 + 4"x" + 1))/(2"x"^2 - "x" - 1) = 5/2`
`(5"x"^2 + 2"x" + 2)/(2x^2 - "x" - 1) = 5/2`
10x2 + 4x + 4 = 10x2 - 5x - 5
- 9x - 9 = 0
x + 1 = 0
x = -1
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`1/((x-1)(x-2))+1/((x-2)(x-3))+1/((x-3)(x-4))=1/6`
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.
For the equation given below, find the value of ‘m’ so that the equation has equal roots. Also, find the solution of the equation:
(m – 3)x2 – 4x + 1 = 0
The sum of the squares of two consecutive positive integers is 365. Find the integers.
Solve the following quadratic equations by factorization:
\[\frac{x - 2}{x - 3} + \frac{x - 4}{x - 5} = \frac{10}{3}; x \neq 3, 5\]
Solve the following quadratic equations by factorization: \[\frac{5 + x}{5 - x} - \frac{5 - x}{5 + x} = 3\frac{3}{4}; x \neq 5, - 5\]
If the equation 9x2 + 6kx + 4 = 0 has equal roots, then the roots are both equal to
Solve the following quadratic equation by factorisation:
(2x + 3) (3x - 7) = 0
Solve the following equation by factorization
x(6x – 1) = 35
The speed of a boat in still water is 11 km/ hr. It can go 12 km up-stream and return downstream to the original point in 2 hours 45 minutes. Find the speed of the stream
