Advertisements
Advertisements
Question
Solve for x
`(x - 1)/(2x + 1) + (2x + 1)/(x - 1) = 2, "where x" != -1/2, 1`
Advertisements
Solution
`(x - 1)/(2x + 1) + (2x + 1)/(x - 1) = 2`
`=>((x - 1)^2 + (2x + 1)^2)/((2x + 1)(x + 1)) = 2`
`=> (x^2 + 1 -2x + 4x^2 + 1 + 4x)/(2x^2 - 2x + x - 1) = 2`
`=> 5x^2 + 2x + 2 = 4x^2 - 2x - 2`
`=> x^2 + 4x + 4 = 0`
`=> (x + 2)^2 = 0`
⇒ x= -2 , -2
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
`10x-1/x=3`
Find the whole numbers which when decreased by 20 is equal to 69 times the reciprocal of the members.
The length of a hall is 5 m more than its breadth. If the area of the floor of the hall is 84 m2, what are the length and breadth of the hall?
Solve the following quadratic equations by factorization: \[\frac{3}{x + 1} - \frac{1}{2} = \frac{2}{3x - 1}, x \neq - 1, \frac{1}{3}\]
Write the set of value of 'a' for which the equation x2 + ax − 1 = 0 has real roots.
Solve the following equation: `("a+b")^2 "x"^2 - 4 "abx" - ("a - b")^2 = 0`
Solve the following quadratic equation using formula method only
6x2 + 7x - 10 = 0
Divide 29 into two parts so that the sum of the square of the parts is 425.
A person was given Rs. 3000 for a tour. If he extends his tour programme by 5 days, he must cut down his daily expenses by Rs. 20. Find the number of days of his tour programme.
If the sum of the roots of the quadratic equation ky2 – 11y + (k – 23) = 0 is `13/21` more than the product of the roots, then find the value of k.
